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73972680 = 2335616439
BaseRepresentation
bin1000110100010…
…11101111001000
312011012012102220
410122023233020
5122414111210
611201254040
71555520535
oct432135710
9164165386
1073972680
1138834851
1220934320
131242cb22
149b77d8c
156762c70
hex468bbc8

73972680 has 32 divisors (see below), whose sum is σ = 221918400. Its totient is φ = 19726016.

The previous prime is 73972673. The next prime is 73972693. The reversal of 73972680 is 8627937.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308100 + ... + 308339.

It is an arithmetic number, because the mean of its divisors is an integer number (6934950).

Almost surely, 273972680 is an apocalyptic number.

It is an amenable number.

73972680 is an abundant number, since it is smaller than the sum of its proper divisors (147945720).

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

73972680 is a wasteful number, since it uses less digits than its factorization.

73972680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616453 (or 616449 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 73972680 is about 8600.7371777075. The cubic root of 73972680 is about 419.7819730070.

The spelling of 73972680 in words is "seventy-three million, nine hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 616439 1232878 1849317 2465756 3082195 3698634 4931512 6164390 7397268 9246585 12328780 14794536 18493170 24657560 36986340 73972680