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99616968 = 233211731723
BaseRepresentation
bin1011111000000…
…00100011001000
320221110001210100
411330000203020
5201000220333
613515045400
72316505323
oct574004310
9227401710
1099616968
115125a780
1229440860
131783b369
14d3317ba
158b2b213
hex5f008c8

99616968 has 96 divisors (see below), whose sum is σ = 298527840. Its totient is φ = 29756160.

The previous prime is 99616931. The next prime is 99616969. The reversal of 99616968 is 86961699.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (99616969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56955 + ... + 58677.

It is an arithmetic number, because the mean of its divisors is an integer number (3109665).

Almost surely, 299616968 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 99616968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149263920).

99616968 is an abundant number, since it is smaller than the sum of its proper divisors (198910872).

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

99616968 is a wasteful number, since it uses less digits than its factorization.

99616968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1812 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 99616968 is about 9980.8300256041. The cubic root of 99616968 is about 463.5654994137.

The spelling of 99616968 in words is "ninety-nine million, six hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 73 88 99 132 146 198 219 264 292 396 438 584 657 792 803 876 1314 1606 1723 1752 2409 2628 3212 3446 4818 5169 5256 6424 6892 7227 9636 10338 13784 14454 15507 18953 19272 20676 28908 31014 37906 41352 56859 57816 62028 75812 113718 124056 125779 151624 170577 227436 251558 341154 377337 454872 503116 682308 754674 1006232 1132011 1364616 1383569 1509348 2264022 2767138 3018696 4150707 4528044 5534276 8301414 9056088 11068552 12452121 16602828 24904242 33205656 49808484 99616968