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139608864 = 25323071579
BaseRepresentation
bin10000101001001…
…00001100100000
3100201200212100200
420110210030200
5241214440424
621504145200
73313440633
oct1024441440
9321625320
10139608864
117189522a
123a908200
1322c012c5
1414781c1a
15c3ca8c9
hex8524320

139608864 has 72 divisors (see below), whose sum is σ = 398558160. Its totient is φ = 46355328.

The previous prime is 139608863. The next prime is 139608869. The reversal of 139608864 is 468806931.

139608864 is a `hidden beast` number, since 1 + 39 + 608 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (139608863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87627 + ... + 89205.

It is an arithmetic number, because the mean of its divisors is an integer number (5535530).

Almost surely, 2139608864 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 139608864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199279080).

139608864 is an abundant number, since it is smaller than the sum of its proper divisors (258949296).

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

139608864 is a wasteful number, since it uses less digits than its factorization.

139608864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 139608864 is about 11815.6194928577. The cubic root of 139608864 is about 518.7653945400.

The spelling of 139608864 in words is "one hundred thirty-nine million, six hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 307 614 921 1228 1579 1842 2456 2763 3158 3684 4737 4912 5526 6316 7368 9474 9824 11052 12632 14211 14736 18948 22104 25264 28422 29472 37896 44208 50528 56844 75792 88416 113688 151584 227376 454752 484753 969506 1454259 1939012 2908518 3878024 4362777 5817036 7756048 8725554 11634072 15512096 17451108 23268144 34902216 46536288 69804432 139608864