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8972320 = 25578011
BaseRepresentation
bin100010001110…
…100000100000
3121212211201011
4202032200200
54244103240
6520150304
7136156240
oct42164040
917784634
108972320
115079045
123008394
131b21b86
141297b20
15bc36ea
hex88e820

8972320 has 48 divisors (see below), whose sum is σ = 24228288. Its totient is φ = 3075840.

The previous prime is 8972309. The next prime is 8972371. The reversal of 8972320 is 232798.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2886 + ... + 5125.

It is an arithmetic number, because the mean of its divisors is an integer number (504756).

Almost surely, 28972320 is an apocalyptic number.

8972320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8972320 is an abundant number, since it is smaller than the sum of its proper divisors (15255968).

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

8972320 is a wasteful number, since it uses less digits than its factorization.

8972320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8033 (or 8025 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 8972320 is about 2995.3831140607. The cubic root of 8972320 is about 207.7949162012.

The spelling of 8972320 in words is "eight million, nine hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 8011 16022 32044 40055 56077 64088 80110 112154 128176 160220 224308 256352 280385 320440 448616 560770 640880 897232 1121540 1281760 1794464 2243080 4486160 8972320