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99107616 = 2532997367
BaseRepresentation
bin1011110100001…
…00001100100000
320220111012002110
411322010030200
5200332420431
613500115320
72312254326
oct572041440
9226435073
1099107616
1150a42023
1229235b40
13176c057a
14d23bd16
158a7a346
hex5e84320

99107616 has 96 divisors (see below), whose sum is σ = 272643840. Its totient is φ = 31481856.

The previous prime is 99107611. The next prime is 99107627. The reversal of 99107616 is 61670199.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (99107611) 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, 269865 + ... + 270231.

It is an arithmetic number, because the mean of its divisors is an integer number (2840040).

Almost surely, 299107616 is an apocalyptic number.

99107616 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99107616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136321920).

99107616 is an abundant number, since it is smaller than the sum of its proper divisors (173536224).

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

99107616 is a wasteful number, since it uses less digits than its factorization.

99107616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 99107616 is about 9955.2808097009. The cubic root of 99107616 is about 462.7740626463.

The spelling of 99107616 in words is "ninety-nine million, one hundred seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 97 116 174 194 232 291 348 367 388 464 582 696 734 776 928 1101 1164 1392 1468 1552 2202 2328 2784 2813 2936 3104 4404 4656 5626 5872 8439 8808 9312 10643 11252 11744 16878 17616 21286 22504 31929 33756 35232 35599 42572 45008 63858 67512 71198 85144 90016 106797 127716 135024 142396 170288 213594 255432 270048 284792 340576 427188 510864 569584 854376 1021728 1032371 1139168 1708752 2064742 3097113 3417504 4129484 6194226 8258968 12388452 16517936 24776904 33035872 49553808 99107616