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1405056672 = 25336832381
BaseRepresentation
bin101001110111111…
…0111011010100000
310121220212021102000
41103233313122200
510334143303142
6351231124000
746550533065
oct12357673240
93556767360
101405056672
11661132968
12332673600
1319512c2a6
14d486ac6c
158354314c
hex53bf76a0

1405056672 has 96 divisors (see below), whose sum is σ = 4105805760. Its totient is φ = 467470080.

The previous prime is 1405056649. The next prime is 1405056673. The reversal of 1405056672 is 2766505041.

It is a happy number.

1405056672 is a `hidden beast` number, since 1 + 40 + 50 + 566 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1405056673) 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, 588922 + ... + 591302.

It is an arithmetic number, because the mean of its divisors is an integer number (42768810).

Almost surely, 21405056672 is an apocalyptic number.

1405056672 is a gapful number since it is divisible by the number (12) 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 1405056672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052902880).

1405056672 is an abundant number, since it is smaller than the sum of its proper divisors (2700749088).

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

1405056672 is a wasteful number, since it uses less digits than its factorization.

1405056672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1405056672 is about 37484.0855830845. The cubic root of 1405056672 is about 1120.0341911331.

The spelling of 1405056672 in words is "one billion, four hundred five million, fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 683 864 1366 2049 2381 2732 4098 4762 5464 6147 7143 8196 9524 10928 12294 14286 16392 18441 19048 21429 21856 24588 28572 32784 36882 38096 42858 49176 57144 64287 65568 73764 76192 85716 98352 114288 128574 147528 171432 196704 228576 257148 295056 342864 514296 590112 685728 1028592 1626223 2057184 3252446 4878669 6504892 9757338 13009784 14636007 19514676 26019568 29272014 39029352 43908021 52039136 58544028 78058704 87816042 117088056 156117408 175632084 234176112 351264168 468352224 702528336 1405056672