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104675064 = 233131132969
BaseRepresentation
bin1100011110100…
…11011011111000
321021222001012020
412033103123320
5203244100224
614215314440
72410503054
oct617233370
9237861166
10104675064
11540a4a1a
122b07ba20
13188bc710
14dc8ac64
1592c9c79
hex63d36f8

104675064 has 64 divisors (see below), whose sum is σ = 284407200. Its totient is φ = 31911936.

The previous prime is 104675059. The next prime is 104675071. The reversal of 104675064 is 460576401.

It is a congruent number.

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, 33772 + ... + 36740.

Almost surely, 2104675064 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 104675064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142203600).

104675064 is an abundant number, since it is smaller than the sum of its proper divisors (179732136).

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

104675064 is a wasteful number, since it uses less digits than its factorization.

104675064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 104675064 is about 10231.0832271075. The cubic root of 104675064 is about 471.2822448134.

The spelling of 104675064 in words is "one hundred four million, six hundred seventy-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 113 156 226 312 339 452 678 904 1356 1469 2712 2938 2969 4407 5876 5938 8814 8907 11752 11876 17628 17814 23752 35256 35628 38597 71256 77194 115791 154388 231582 308776 335497 463164 670994 926328 1006491 1341988 2012982 2683976 4025964 4361461 8051928 8722922 13084383 17445844 26168766 34891688 52337532 104675064