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152080896 = 293119001
BaseRepresentation
bin10010001000010…
…01001000000000
3101121011111202210
421010021020000
5302413042041
623031342120
73524444352
oct1104111000
9347144683
10152080896
11789336a0
1242b21940
132567a0c6
14162ab0d2
15d541016
hex9109200

152080896 has 80 divisors (see below), whose sum is σ = 442034208. Its totient is φ = 46080000.

The previous prime is 152080891. The next prime is 152080909. The reversal of 152080896 is 698080251.

It is a super-4 number, since 4×1520808964 (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (152080891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12396 + ... + 21396.

Almost surely, 2152080896 is an apocalyptic number.

152080896 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 152080896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221017104).

152080896 is an abundant number, since it is smaller than the sum of its proper divisors (289953312).

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

152080896 is an equidigital number, since it uses as much as digits as its factorization.

152080896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9033 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 152080896 is about 12332.1083355605. The cubic root of 152080896 is about 533.7749897164.

The spelling of 152080896 in words is "one hundred fifty-two million, eighty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 9001 16896 18002 27003 36004 54006 72008 99011 108012 144016 198022 216024 288032 297033 396044 432048 576064 594066 792088 864096 1152128 1188132 1584176 1728192 2304256 2376264 3168352 3456384 4608512 4752528 6336704 6912768 9505056 12673408 13825536 19010112 25346816 38020224 50693632 76040448 152080896