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99643104 = 25321171443
BaseRepresentation
bin1011111000001…
…10111011100000
320221111101122100
411330012323200
5201002034404
613515410400
72316644451
oct574067340
9227441570
1099643104
1151278380
1229453a00
131784a222
14d33b128
158b33d39
hex5f06ee0

99643104 has 144 divisors (see below), whose sum is σ = 314181504. Its totient is φ = 29702400.

The previous prime is 99643099. The next prime is 99643111. The reversal of 99643104 is 40134699.

99643104 is a `hidden beast` number, since 9 + 9 + 643 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224707 + ... + 225149.

It is an arithmetic number, because the mean of its divisors is an integer number (2181816).

Almost surely, 299643104 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 99643104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157090752).

99643104 is an abundant number, since it is smaller than the sum of its proper divisors (214538400).

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

99643104 is a wasteful number, since it uses less digits than its factorization.

99643104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 99643104 is about 9982.1392496799. The cubic root of 99643104 is about 463.6060369804.

It can be divided in two parts, 996 and 43104, that added together give a square (44100 = 2102).

The spelling of 99643104 in words is "ninety-nine million, six hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 71 72 88 96 99 132 142 144 176 198 213 264 284 288 352 396 426 443 528 568 639 781 792 852 886 1056 1136 1278 1329 1562 1584 1704 1772 2272 2343 2556 2658 3124 3168 3408 3544 3987 4686 4873 5112 5316 6248 6816 7029 7088 7974 9372 9746 10224 10632 12496 14058 14176 14619 15948 18744 19492 20448 21264 24992 28116 29238 31453 31896 37488 38984 42528 43857 56232 58476 62906 63792 74976 77968 87714 94359 112464 116952 125812 127584 155936 175428 188718 224928 233904 251624 283077 345983 350856 377436 467808 503248 566154 691966 701712 754872 1006496 1037949 1132308 1383932 1403424 1509744 2075898 2264616 2767864 3019488 3113847 4151796 4529232 5535728 6227694 8303592 9058464 11071456 12455388 16607184 24910776 33214368 49821552 99643104