Search a number
-
+
99131076 = 2232111731447
BaseRepresentation
bin1011110100010…
…01111011000100
320220112101021100
411322021323010
5200334143301
613500420100
72312412612
oct572117304
9226471240
1099131076
1150a58710
1229247630
13176cb155
14d2466b2
158a82286
hex5e89ec4

99131076 has 72 divisors (see below), whose sum is σ = 275131584. Its totient is φ = 29845440.

The previous prime is 99131059. The next prime is 99131083. The reversal of 99131076 is 67013199.

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

It is a self number, because there is not a number n which added to its sum of digits gives 99131076.

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, 67785 + ... + 69231.

It is an arithmetic number, because the mean of its divisors is an integer number (3821272).

Almost surely, 299131076 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 99131076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137565792).

99131076 is an abundant number, since it is smaller than the sum of its proper divisors (176000508).

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

99131076 is a wasteful number, since it uses less digits than its factorization.

99131076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 99131076 is about 9956.4590091056. The cubic root of 99131076 is about 462.8105745493.

The spelling of 99131076 in words is "ninety-nine million, one hundred thirty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 173 198 346 396 519 692 1038 1447 1557 1903 2076 2894 3114 3806 4341 5709 5788 6228 7612 8682 11418 13023 15917 17127 17364 22836 26046 31834 34254 47751 52092 63668 68508 95502 143253 191004 250331 286506 500662 573012 750993 1001324 1501986 2252979 2753641 3003972 4505958 5507282 8260923 9011916 11014564 16521846 24782769 33043692 49565538 99131076