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

bin | 10001111111011… |

… | …11010110000000 |

3 | 101111222212112112 |

4 | 20333233112000 |

5 | 302114123340 |

6 | 22550514452 |

7 | 3511566410 |

oct | 1077572600 |

9 | 344885475 |

10 | 150926720 |

11 | 7821552a |

12 | 42665a28 |

13 | 25364969 |

14 | 1608a640 |

15 | d3b4065 |

hex | 8fef580 |

150926720 has 128 divisors (see below), whose sum is σ = 420076800. Its totient is φ = 50780160.

The previous prime is 150926687. The next prime is 150926723. The reversal of 150926720 is 27629051.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150926723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264035 + ... + 264605.

It is an arithmetic number, because the mean of its divisors is an integer number (3281850).

Almost surely, 2^{150926720} is an apocalyptic number.

150926720 is a gapful number since it is divisible by the number (10) 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 150926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210038400).

150926720 is an abundant number, since it is smaller than the sum of its proper divisors (269150080).

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

150926720 is an equidigital number, since it uses as much as digits as its factorization.

150926720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 150926720 is about 12285.2236446880. The cubic root of 150926720 is about 532.4212466282.

It can be divided in two parts, 15092 and 6720, that added together give a palindrome (21812).

The spelling of 150926720 in words is "one hundred fifty million, nine hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 64 70 80 112 118 128 140 160 224 236 280 295 320 413 448 472 560 571 590 640 826 896 944 1120 1142 1180 1652 1888 2065 2240 2284 2360 2855 3304 3776 3997 4130 4480 4568 4720 5710 6608 7552 7994 8260 9136 9440 11420 13216 15988 16520 18272 18880 19985 22840 26432 31976 33040 33689 36544 37760 39970 45680 52864 63952 66080 67378 73088 79940 91360 127904 132160 134756 159880 168445 182720 235823 255808 264320 269512 319760 336890 365440 471646 511616 539024 639520 673780 943292 1078048 1179115 1279040 1347560 1886584 2156096 2358230 2558080 2695120 3773168 4312192 4716460 5390240 7546336 9432920 10780480 15092672 18865840 21560960 30185344 37731680 75463360 150926720

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