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99866016 = 25321312647
BaseRepresentation
bin1011111001111…
…01010110100000
320221220201102100
411330331112200
5201031203031
613524250400
72321563365
oct574752640
9227821370
1099866016
115140a8a8
1229540a00
13178c7823
14d39846c
158b79de6
hex5f3d5a0

99866016 has 72 divisors (see below), whose sum is σ = 286269984. Its totient is φ = 33022080.

The previous prime is 99865999. The next prime is 99866017. The reversal of 99866016 is 61066899.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (99866017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36405 + ... + 39051.

It is an arithmetic number, because the mean of its divisors is an integer number (3975972).

Almost surely, 299866016 is an apocalyptic number.

99866016 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 99866016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143134992).

99866016 is an abundant number, since it is smaller than the sum of its proper divisors (186403968).

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

99866016 is a wasteful number, since it uses less digits than its factorization.

99866016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 99866016 is about 9993.2985545314. The cubic root of 99866016 is about 463.9514911635.

The spelling of 99866016 in words is "ninety-nine million, eight hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1572 2096 2358 2647 3144 4192 4716 5294 6288 7941 9432 10588 12576 15882 18864 21176 23823 31764 37728 42352 47646 63528 84704 95292 127056 190584 254112 346757 381168 693514 762336 1040271 1387028 2080542 2774056 3120813 4161084 5548112 6241626 8322168 11096224 12483252 16644336 24966504 33288672 49933008 99866016