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99859968 = 2932131667
BaseRepresentation
bin1011111001110…
…11111000000000
320221220102010100
411330323320000
5201031004333
613524202400
72321536635
oct574737000
9227812110
1099859968
11514062aa
1229539400
13178c4b50
14d39618c
158b78213
hex5f3be00

99859968 has 120 divisors (see below), whose sum is σ = 310558248. Its totient is φ = 30707712.

The previous prime is 99859961. The next prime is 99859979. The reversal of 99859968 is 86995899.

It is a super-2 number, since 2×998599682 = 19944026417922048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99859961) 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, 59071 + ... + 60737.

Almost surely, 299859968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155279124).

99859968 is an abundant number, since it is smaller than the sum of its proper divisors (210698280).

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

99859968 is a wasteful number, since it uses less digits than its factorization.

99859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1685 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 63.

The square root of 99859968 is about 9992.9959471622. The cubic root of 99859968 is about 463.9421251636.

The spelling of 99859968 in words is "ninety-nine million, eight hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1667 1872 2304 2496 3328 3334 3744 4608 4992 5001 6656 6668 7488 9984 10002 13336 14976 15003 19968 20004 21671 26672 29952 30006 40008 43342 53344 59904 60012 65013 80016 86684 106688 120024 130026 160032 173368 195039 213376 240048 260052 320064 346736 390078 426752 480096 520104 640128 693472 780156 853504 960192 1040208 1280256 1386944 1560312 1920384 2080416 2560512 2773888 3120624 3840768 4160832 5547776 6241248 7681536 8321664 11095552 12482496 16643328 24964992 33286656 49929984 99859968