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160113456 = 24331919507
BaseRepresentation
bin10011000101100…
…10001100110000
3102011021121101000
421202302030300
5311442112311
623515442000
73652641036
oct1142621460
9364247330
10160113456
118241a678
1245756300
13272302b9
141739c556
15e0cb056
hex98b2330

160113456 has 80 divisors (see below), whose sum is σ = 483798400. Its totient is φ = 50559552.

The previous prime is 160113427. The next prime is 160113517. The reversal of 160113456 is 654311061.

160113456 is a `hidden beast` number, since 1 + 601 + 1 + 3 + 4 + 56 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1546 + ... + 17961.

It is an arithmetic number, because the mean of its divisors is an integer number (6047480).

Almost surely, 2160113456 is an apocalyptic number.

160113456 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 160113456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241899200).

160113456 is an abundant number, since it is smaller than the sum of its proper divisors (323684944).

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

160113456 is a wasteful number, since it uses less digits than its factorization.

160113456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19543 (or 19531 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 160113456 is about 12653.5945881003. The cubic root of 160113456 is about 543.0118125693.

The spelling of 160113456 in words is "one hundred sixty million, one hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 19507 39014 58521 78028 117042 156056 175563 234084 312112 351126 370633 468168 526689 702252 741266 936336 1053378 1111899 1404504 1482532 2106756 2223798 2809008 2965064 3335697 4213512 4447596 5930128 6671394 8427024 8895192 10007091 13342788 17790384 20014182 26685576 40028364 53371152 80056728 160113456