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99916968 = 23323315839
BaseRepresentation
bin1011111010010…
…01110010101000
320222000022022110
411331021302220
5201034320333
613525322320
72322165054
oct575116250
9228008273
1099916968
1151445108
12295663a0
1317914a88
14d3acc64
158b8a063
hex5f49ca8

99916968 has 64 divisors (see below), whose sum is σ = 269107200. Its totient is φ = 30824640.

The previous prime is 99916967. The next prime is 99916979. The reversal of 99916968 is 86961999.

It is a super-3 number, since 3×999169683 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (99916961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14193 + ... + 20031.

It is an arithmetic number, because the mean of its divisors is an integer number (4204800).

Almost surely, 299916968 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 99916968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134553600).

99916968 is an abundant number, since it is smaller than the sum of its proper divisors (169190232).

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

99916968 is a wasteful number, since it uses less digits than its factorization.

99916968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 5898 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 57.

The square root of 99916968 is about 9995.8475378529. The cubic root of 99916968 is about 464.0303809873.

The spelling of 99916968 in words is "ninety-nine million, nine hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2139 2852 4278 5704 5839 8556 11678 17112 17517 23356 35034 46712 70068 134297 140136 181009 268594 362018 402891 537188 543027 724036 805782 1074376 1086054 1448072 1611564 2172108 3223128 4163207 4344216 8326414 12489621 16652828 24979242 33305656 49958484 99916968