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99590064 = 24374361113
BaseRepresentation
bin1011110111110…
…01111110110000
320221101200212220
411323321332300
5200443340224
613514321040
72316334020
oct573717660
9227350786
1099590064
1151241542
1229429180
131782c042
14d325a80
158b23279
hex5ef9fb0

99590064 has 160 divisors (see below), whose sum is σ = 308504064. Its totient is φ = 27095040.

The previous prime is 99590059. The next prime is 99590081. The reversal of 99590064 is 46009599.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 99589998 and 99590025.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 881272 + ... + 881384.

Almost surely, 299590064 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 99590064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154252032).

99590064 is an abundant number, since it is smaller than the sum of its proper divisors (208914000).

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

99590064 is a wasteful number, since it uses less digits than its factorization.

99590064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 99590064 is about 9979.4821508934. The cubic root of 99590064 is about 463.5237632537.

The spelling of 99590064 in words is "ninety-nine million, five hundred ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 61 84 86 112 113 122 129 168 172 183 226 244 258 301 336 339 344 366 427 452 488 516 602 678 688 732 791 854 903 904 976 1032 1204 1281 1356 1464 1582 1708 1806 1808 2064 2373 2408 2562 2623 2712 2928 3164 3416 3612 4746 4816 4859 5124 5246 5424 6328 6832 6893 7224 7869 9492 9718 10248 10492 12656 13786 14448 14577 15738 18361 18984 19436 20496 20679 20984 27572 29154 31476 34013 36722 37968 38872 41358 41968 48251 55083 55144 58308 62952 68026 73444 77744 82716 96502 102039 110166 110288 116616 125904 136052 144753 146888 165432 193004 204078 220332 233232 272104 289506 293776 296399 330864 386008 408156 440664 544208 579012 592798 772016 816312 881328 889197 1158024 1185596 1632624 1778394 2074793 2316048 2371192 3556788 4149586 4742384 6224379 7113576 8299172 12448758 14227152 16598344 24897516 33196688 49795032 99590064