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99012384 = 2532595827
BaseRepresentation
bin1011110011011…
…00111100100000
320220022100110100
411321230330200
5200321344014
613454102400
72311406562
oct571547440
9226270410
1099012384
1150987519
12291aaa00
1317689113
14d215332
158a5c009
hex5e6cf20

99012384 has 72 divisors (see below), whose sum is σ = 286387920. Its totient is φ = 32439168.

The previous prime is 99012377. The next prime is 99012391. The reversal of 99012384 is 48321099.

It is an interprime number because it is at equal distance from previous prime (99012377) and next prime (99012391).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14079 + ... + 19905.

It is an arithmetic number, because the mean of its divisors is an integer number (3977610).

Almost surely, 299012384 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 99012384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143193960).

99012384 is an abundant number, since it is smaller than the sum of its proper divisors (187375536).

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

99012384 is a wasteful number, since it uses less digits than its factorization.

99012384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 99012384 is about 9950.4966710210. The cubic root of 99012384 is about 462.6257894033.

The spelling of 99012384 in words is "ninety-nine million, twelve thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 4248 5664 5827 8496 11654 16992 17481 23308 34962 46616 52443 69924 93232 104886 139848 186464 209772 279696 343793 419544 559392 687586 839088 1031379 1375172 1678176 2062758 2750344 3094137 4125516 5500688 6188274 8251032 11001376 12376548 16502064 24753096 33004128 49506192 99012384