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99741924 = 223217792063
BaseRepresentation
bin1011111000111…
…11000011100100
320221200102012100
411330133003210
5201013220144
613521452100
72320535532
oct574370344
9227612170
1099741924
1151335647
12294a1030
13178831b9
14d365152
158b53269
hex5f1f0e4

99741924 has 72 divisors (see below), whose sum is σ = 270466560. Its totient is φ = 30880512.

The previous prime is 99741923. The next prime is 99741931. The reversal of 99741924 is 42914799.

It is a happy number.

It is a super-3 number, since 3×997419243 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 99741924.

It is not an unprimeable number, because it can be changed into a prime (99741923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47317 + ... + 49379.

It is an arithmetic number, because the mean of its divisors is an integer number (3756480).

Almost surely, 299741924 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 99741924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135233280).

99741924 is an abundant number, since it is smaller than the sum of its proper divisors (170724636).

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

99741924 is a wasteful number, since it uses less digits than its factorization.

99741924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2164 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 99741924 is about 9987.0878638370. The cubic root of 99741924 is about 463.7592451471.

The spelling of 99741924 in words is "ninety-nine million, seven hundred forty-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 79 102 153 158 204 237 306 316 474 612 711 948 1343 1422 2063 2686 2844 4029 4126 5372 6189 8058 8252 12087 12378 16116 18567 24174 24756 35071 37134 48348 70142 74268 105213 140284 162977 210426 315639 325954 420852 488931 631278 651908 977862 1262556 1466793 1955724 2770609 2933586 5541218 5867172 8311827 11082436 16623654 24935481 33247308 49870962 99741924