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73640840 = 23571320231
BaseRepresentation
bin1000110001110…
…10101110001000
312010120100020112
410120322232020
5122323001330
611150213452
71552636220
oct430725610
9163510215
1073640840
11386284a9
12207b4288
1312344a80
149acd080
1566e9795
hex463ab88

73640840 has 64 divisors (see below), whose sum is σ = 203938560. Its totient is φ = 23304960.

The previous prime is 73640803. The next prime is 73640851. The reversal of 73640840 is 4804637.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 73640797 and 73640806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6476 + ... + 13755.

It is an arithmetic number, because the mean of its divisors is an integer number (3186540).

Almost surely, 273640840 is an apocalyptic number.

73640840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73640840 is an abundant number, since it is smaller than the sum of its proper divisors (130297720).

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

73640840 is a wasteful number, since it uses less digits than its factorization.

73640840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20262 (or 20258 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 73640840 is about 8581.4241242349. The cubic root of 73640840 is about 419.1533207789.

The spelling of 73640840 in words is "seventy-three million, six hundred forty thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 20231 40462 80924 101155 141617 161848 202310 263003 283234 404620 526006 566468 708085 809240 1052012 1132936 1315015 1416170 1841021 2104024 2630030 2832340 3682042 5260060 5664680 7364084 9205105 10520120 14728168 18410210 36820420 73640840