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99080256 = 26311431091
BaseRepresentation
bin1011110011111…
…01100001000000
320220102210120010
411321331201000
5200331032011
613455344520
72312111502
oct571754100
9226383503
1099080256
1150a23510
1229222140
13176b0c92
14d231d72
158a721a6
hex5e7d840

99080256 has 112 divisors (see below), whose sum is σ = 292900608. Its totient is φ = 29299200.

The previous prime is 99080249. The next prime is 99080263. The reversal of 99080256 is 65208099.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99080249) and next prime (99080263).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90271 + ... + 91361.

It is an arithmetic number, because the mean of its divisors is an integer number (2615184).

Almost surely, 299080256 is an apocalyptic number.

99080256 is a gapful number since it is divisible by the number (96) 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 99080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146450304).

99080256 is an abundant number, since it is smaller than the sum of its proper divisors (193820352).

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

99080256 is a wasteful number, since it uses less digits than its factorization.

99080256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 99080256 is about 9953.9065697845. The cubic root of 99080256 is about 462.7314737106.

The spelling of 99080256 in words is "ninety-nine million, eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 129 132 172 176 192 258 264 344 352 473 516 528 688 704 946 1032 1056 1091 1376 1419 1892 2064 2112 2182 2752 2838 3273 3784 4128 4364 5676 6546 7568 8256 8728 11352 12001 13092 15136 17456 22704 24002 26184 30272 34912 36003 45408 46913 48004 52368 69824 72006 90816 93826 96008 104736 140739 144012 187652 192016 209472 281478 288024 375304 384032 516043 562956 576048 750608 768064 1032086 1125912 1152096 1501216 1548129 2064172 2251824 2304192 3002432 3096258 4128344 4503648 6192516 8256688 9007296 12385032 16513376 24770064 33026752 49540128 99080256