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125696064 = 2631350359
BaseRepresentation
bin1110111110111…
…11100001000000
322202112000120210
413133133201000
5224134233224
620250034120
73054253554
oct737374100
9282460523
10125696064
1164a5234a
1236118940
132006c790
141299d864
15b07d429
hex77df840

125696064 has 56 divisors (see below), whose sum is σ = 358160320. Its totient is φ = 38674944.

The previous prime is 125696059. The next prime is 125696069. The reversal of 125696064 is 460696521.

It is an interprime number because it is at equal distance from previous prime (125696059) and next prime (125696069).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (125696069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22684 + ... + 27675.

It is an arithmetic number, because the mean of its divisors is an integer number (6395720).

Almost surely, 2125696064 is an apocalyptic number.

It is an amenable number.

125696064 is an abundant number, since it is smaller than the sum of its proper divisors (232464256).

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

125696064 is a wasteful number, since it uses less digits than its factorization.

125696064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50387 (or 50377 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 125696064 is about 11211.4256006986. The cubic root of 125696064 is about 500.9263679582.

The spelling of 125696064 in words is "one hundred twenty-five million, six hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 50359 100718 151077 201436 302154 402872 604308 654667 805744 1208616 1309334 1611488 1964001 2417232 2618668 3222976 3928002 4834464 5237336 7856004 9668928 10474672 15712008 20949344 31424016 41898688 62848032 125696064