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73106064 = 243518803
BaseRepresentation
bin1000101101110…
…00001010010000
312002120011200000
410112320022100
5122203343224
611130530000
71545251133
oct426701220
9162504600
1073106064
11382a2739
1220596900
13121b8535
1499d021a
1566410c9
hex45b8290

73106064 has 60 divisors (see below), whose sum is σ = 212184336. Its totient is φ = 24367392.

The previous prime is 73106057. The next prime is 73106093. The reversal of 73106064 is 46060137.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5514 + ... + 13289.

Almost surely, 273106064 is an apocalyptic number.

It is an amenable number.

73106064 is an abundant number, since it is smaller than the sum of its proper divisors (139078272).

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

73106064 is a wasteful number, since it uses less digits than its factorization.

73106064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18826 (or 18808 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 73106064 is about 8550.2084185124. The cubic root of 73106064 is about 418.1362314745.

The spelling of 73106064 in words is "seventy-three million, one hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 18803 37606 56409 75212 112818 150424 169227 225636 300848 338454 451272 507681 676908 902544 1015362 1353816 1523043 2030724 2707632 3046086 4061448 4569129 6092172 8122896 9138258 12184344 18276516 24368688 36553032 73106064