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73920431 = 1321923021
BaseRepresentation
bin1000110011111…
…10111110101111
312011002112202202
410121332332233
5122410423211
611200212115
71555212314
oct431767657
9164075682
1073920431
11387a9572
122090a03b
1312412100
149b62d0b
15675253b
hex467efaf

73920431 has 12 divisors (see below), whose sum is σ = 84260520. Its totient is φ = 64640160.

The previous prime is 73920401. The next prime is 73920433. The reversal of 73920431 is 13402937.

It is not a de Polignac number, because 73920431 - 222 = 69726127 is a prime.

It is a super-2 number, since 2×739204312 = 10928460238451522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73920394 and 73920403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73920433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8300 + ... + 14721.

It is an arithmetic number, because the mean of its divisors is an integer number (7021710).

Almost surely, 273920431 is an apocalyptic number.

73920431 is a deficient number, since it is larger than the sum of its proper divisors (10340089).

73920431 is a wasteful number, since it uses less digits than its factorization.

73920431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23066 (or 23053 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 73920431 is about 8597.6991689638. The cubic root of 73920431 is about 419.6831150937.

The spelling of 73920431 in words is "seventy-three million, nine hundred twenty thousand, four hundred thirty-one".

Divisors: 1 13 19 169 247 3211 23021 299273 437399 3890549 5686187 73920431