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73299920 = 2451753897
BaseRepresentation
bin1000101111001…
…11011111010000
312002221000120212
410113213133100
5122231044140
611135023252
71550016251
oct427473720
9162830525
1073299920
1138415351
122066ab28
1312255845
149a40b28
15667d765
hex45e77d0

73299920 has 40 divisors (see below), whose sum is σ = 180450504. Its totient is φ = 27594752.

The previous prime is 73299899. The next prime is 73299953. The reversal of 73299920 is 2999237.

It can be written as a sum of positive squares in 4 ways, for example, as 23116864 + 50183056 = 4808^2 + 7084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25589 + ... + 28308.

Almost surely, 273299920 is an apocalyptic number.

It is an amenable number.

73299920 is an abundant number, since it is smaller than the sum of its proper divisors (107150584).

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

73299920 is a wasteful number, since it uses less digits than its factorization.

73299920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53927 (or 53921 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 41.

The square root of 73299920 is about 8561.5372451447. The cubic root of 73299920 is about 418.5054971260.

The spelling of 73299920 in words is "seventy-three million, two hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 53897 107794 215588 269485 431176 538970 862352 916249 1077940 1832498 2155880 3664996 4311760 4581245 7329992 9162490 14659984 18324980 36649960 73299920