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

bin | 100110011100… |

… | …0110000000000 |

3 | 1101221000000000 |

4 | 1030320300000 |

5 | 20124433032 |

6 | 2000000000 |

7 | 333214035 |

oct | 114706000 |

9 | 41830000 |

10 | 20155392 |

11 | 10417054 |

12 | 6900000 |

13 | 423908a |

14 | 296938c |

15 | 1b81e7c |

hex | 1338c00 |

20155392 has 110 divisors (see below), whose sum is σ = 60435628. Its totient is φ = 6718464.

The previous prime is 20155367. The next prime is 20155411. The reversal of 20155392 is 29355102.

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 (3!)^{9} ⋅ 2!.

20155392 is a *`hidden beast`* number, since 20 + 1 + 553 + 92 = 666.

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

It is a nialpdrome in base 6.

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, 6718463 + 6718464 + 6718465.

Almost surely, 2^{20155392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20155392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30217814).

20155392 is an abundant number, since it is smaller than the sum of its proper divisors (40280236).

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

20155392 is an frugal number, since it uses more digits than its factorization.

20155392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 20155392 is about 4489.4756932185. The cubic root of 20155392 is about 272.1429467773.

Multiplying 20155392 by its sum of digits (27), we get a square (544195584 = 23328^{2}).

20155392 divided by its sum of digits (27) gives a square (746496 = 864^{2}).

Multiplying 20155392 by its product of nonzero digits (2700), we get a square (54419558400 = 233280^{2}).

The spelling of 20155392 in words is "twenty million, one hundred fifty-five thousand, three hundred ninety-two".

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 2187 2304 2592 2916 3072 3456 3888 4374 4608 5184 5832 6561 6912 7776 8748 9216 10368 11664 13122 13824 15552 17496 19683 20736 23328 26244 27648 31104 34992 39366 41472 46656 52488 62208 69984 78732 82944 93312 104976 124416 139968 157464 186624 209952 248832 279936 314928 373248 419904 559872 629856 746496 839808 1119744 1259712 1679616 2239488 2519424 3359232 5038848 6718464 10077696 20155392

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