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99090720 = 2532568813
BaseRepresentation
bin1011110100000…
…00000100100000
320220110022220200
411322000010200
5200331400340
613455505200
72312154141
oct572000440
9226408820
1099090720
1150a30363
1229228200
13176b5981
14d235ac8
158a75330
hex5e80120

99090720 has 72 divisors (see below), whose sum is σ = 338151996. Its totient is φ = 26423808.

The previous prime is 99090689. The next prime is 99090763. The reversal of 99090720 is 2709099.

It can be written as a sum of positive squares in 2 ways, for example, as 91929744 + 7160976 = 9588^2 + 2676^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 32967 + ... + 35846.

Almost surely, 299090720 is an apocalyptic number.

99090720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99090720 is an abundant number, since it is smaller than the sum of its proper divisors (239061276).

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

99090720 is a wasteful number, since it uses less digits than its factorization.

99090720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68834 (or 68823 counting only the distinct ones).

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

The square root of 99090720 is about 9954.4321786830. The cubic root of 99090720 is about 462.7477630364.

The spelling of 99090720 in words is "ninety-nine million, ninety thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 68813 137626 206439 275252 344065 412878 550504 619317 688130 825756 1032195 1101008 1238634 1376260 1651512 2064390 2202016 2477268 2752520 3096585 3303024 4128780 4954536 5505040 6193170 6606048 8257560 9909072 11010080 12386340 16515120 19818144 24772680 33030240 49545360 99090720