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73923640 = 2357264013
BaseRepresentation
bin1000110011111…
…11110000111000
312011002201011121
410121333300320
5122411024030
611200235024
71555224550
oct431776070
9164081147
1073923640
1138800a1a
122090ba74
13124136cb
149b64160
15675347a
hex467fc38

73923640 has 32 divisors (see below), whose sum is σ = 190090080. Its totient is φ = 25345152.

The previous prime is 73923631. The next prime is 73923653. The reversal of 73923640 is 4632937.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73923596 and 73923605.

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, 131727 + ... + 132286.

It is an arithmetic number, because the mean of its divisors is an integer number (5940315).

Almost surely, 273923640 is an apocalyptic number.

73923640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73923640 is an abundant number, since it is smaller than the sum of its proper divisors (116166440).

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

73923640 is a wasteful number, since it uses less digits than its factorization.

73923640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264031 (or 264027 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 73923640 is about 8597.8857866338. The cubic root of 73923640 is about 419.6891880364.

The spelling of 73923640 in words is "seventy-three million, nine hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 264013 528026 1056052 1320065 1848091 2112104 2640130 3696182 5280260 7392364 9240455 10560520 14784728 18480910 36961820 73923640