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99077004 = 223213269787
BaseRepresentation
bin1011110011111…
…00101110001100
320220102122002200
411321330232030
5200330431004
613455321500
72312066145
oct571745614
9226378080
1099077004
1150a21024
1229220290
13176ac660
14d230acc
158a71239
hex5e7cb8c

99077004 has 72 divisors (see below), whose sum is σ = 271056240. Its totient is φ = 30333312.

The previous prime is 99076937. The next prime is 99077029. The reversal of 99077004 is 40077099.

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 99077004.

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, 125499 + ... + 126285.

It is an arithmetic number, because the mean of its divisors is an integer number (3764670).

Almost surely, 299077004 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 99077004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135528120).

99077004 is an abundant number, since it is smaller than the sum of its proper divisors (171979236).

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

99077004 is a wasteful number, since it uses less digits than its factorization.

99077004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 99077004 is about 9953.7432154944. The cubic root of 99077004 is about 462.7264110834.

The spelling of 99077004 in words is "ninety-nine million, seventy-seven thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 269 468 538 787 807 1076 1574 1614 2361 2421 3148 3228 3497 4722 4842 6994 7083 9444 9684 10231 10491 13988 14166 20462 20982 28332 30693 31473 40924 41964 61386 62946 92079 122772 125892 184158 211703 368316 423406 635109 846812 1270218 1905327 2540436 2752139 3810654 5504278 7621308 8256417 11008556 16512834 24769251 33025668 49538502 99077004