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99903168 = 2632237541
BaseRepresentation
bin1011111010001…
…10011011000000
320221222121101100
411331012123000
5201033400133
613525134400
72322106611
oct575063300
9227877340
1099903168
1151435802
122955a400
131790b701
14d3a7c08
158b85e13
hex5f466c0

99903168 has 84 divisors (see below), whose sum is σ = 298844208. Its totient is φ = 31848960.

The previous prime is 99903161. The next prime is 99903179. The reversal of 99903168 is 86130999.

It is not an unprimeable number, because it can be changed into a prime (99903161) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9478 + ... + 17018.

Almost surely, 299903168 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 99903168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149422104).

99903168 is an abundant number, since it is smaller than the sum of its proper divisors (198941040).

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

99903168 is a wasteful number, since it uses less digits than its factorization.

99903168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582 (or 7569 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 99903168 is about 9995.1572273777. The cubic root of 99903168 is about 464.0090168680.

The spelling of 99903168 in words is "ninety-nine million, nine hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 7541 13248 15082 22623 30164 45246 60328 67869 90492 120656 135738 173443 180984 241312 271476 346886 361968 482624 520329 542952 693772 723936 1040658 1085904 1387544 1447872 1560987 2081316 2171808 2775088 3121974 4162632 4343616 5550176 6243948 8325264 11100352 12487896 16650528 24975792 33301056 49951584 99903168