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73064680 = 23513711979
BaseRepresentation
bin1000101101011…
…10000011101000
312002111001220021
410112232003220
5122201032210
611130010224
71545016363
oct426560350
9162431807
1073064680
1138274637
1220576974
13121a2750
1499bd0da
156633bda
hex45ae0e8

73064680 has 64 divisors (see below), whose sum is σ = 179625600. Its totient is φ = 26584320.

The previous prime is 73064627. The next prime is 73064681. The reversal of 73064680 is 8646037.

It is not an unprimeable number, because it can be changed into a prime (73064681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35931 + ... + 37909.

It is an arithmetic number, because the mean of its divisors is an integer number (2806650).

Almost surely, 273064680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73064680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89812800).

73064680 is an abundant number, since it is smaller than the sum of its proper divisors (106560920).

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

73064680 is a wasteful number, since it uses less digits than its factorization.

73064680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 73064680 is about 8547.7880179611. The cubic root of 73064680 is about 418.0573168352.

The spelling of 73064680 in words is "seventy-three million, sixty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 260 284 355 520 568 710 923 1420 1846 1979 2840 3692 3958 4615 7384 7916 9230 9895 15832 18460 19790 25727 36920 39580 51454 79160 102908 128635 140509 205816 257270 281018 514540 562036 702545 1029080 1124072 1405090 1826617 2810180 3653234 5620360 7306468 9133085 14612936 18266170 36532340 73064680