Base | Representation |
---|---|

bin | 10011001110001… |

… | …10000000000000 |

3 | 102020102000000000 |

4 | 21213012000000 |

5 | 312234240021 |

6 | 24000000000 |

7 | 3665354415 |

oct | 1147060000 |

9 | 366360000 |

10 | 161243136 |

11 | 8302139a |

12 | 46000000 |

13 | 27537552 |

14 | 175b410c |

15 | e250b26 |

hex | 99c6000 |

161243136 has 140 divisors (see below), whose sum is σ = 483691692. Its totient is φ = 53747712.

The previous prime is 161243129. The next prime is 161243143. The reversal of 161243136 is 631342161.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)^{2} ⋅ (3!)^{7}.

161243136 is a *`hidden beast`* number, since 1 + 612 + 43 + 1 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (161243129) and next prime (161243143).

It is a super-2 number, since 2×161243136^{2} = 51998697814228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 53747711 + 53747712 + 53747713.

Almost surely, 2^{161243136} is an apocalyptic number.

161243136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241845846).

161243136 is an abundant number, since it is smaller than the sum of its proper divisors (322448556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161243136 is an frugal number, since it uses more digits than its factorization.

161243136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 5 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 161243136 is about 12698.1548265880. The cubic root of 161243136 is about 544.2858935546.

Adding to 161243136 its reverse (631342161), we get a palindrome (792585297).

The spelling of 161243136 in words is "one hundred sixty-one million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2048 2187 2304 2592 2916 3072 3456 3888 4096 4374 4608 5184 5832 6144 6561 6912 7776 8192 8748 9216 10368 11664 12288 13122 13824 15552 17496 18432 19683 20736 23328 24576 26244 27648 31104 34992 36864 39366 41472 46656 52488 55296 62208 69984 73728 78732 82944 93312 104976 110592 124416 139968 157464 165888 186624 209952 221184 248832 279936 314928 331776 373248 419904 497664 559872 629856 663552 746496 839808 995328 1119744 1259712 1492992 1679616 1990656 2239488 2519424 2985984 3359232 4478976 5038848 5971968 6718464 8957952 10077696 13436928 17915904 20155392 26873856 40310784 53747712 80621568 161243136

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