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136050864 = 243171371217
BaseRepresentation
bin10000001101111…
…11100010110000
3100111000002200220
420012333202300
5234312111424
621300013040
73241261515
oct1006774260
9314002626
10136050864
116a885034
1239691180
1322256991
14140d730c
15be26579
hex81bf8b0

136050864 has 80 divisors (see below), whose sum is σ = 375163488. Its totient is φ = 42336256.

The previous prime is 136050851. The next prime is 136050869. The reversal of 136050864 is 468050631.

It is not an unprimeable number, because it can be changed into a prime (136050869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111184 + ... + 112400.

Almost surely, 2136050864 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 136050864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187581744).

136050864 is an abundant number, since it is smaller than the sum of its proper divisors (239112624).

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

136050864 is a wasteful number, since it uses less digits than its factorization.

136050864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 136050864 is about 11664.0843618348. The cubic root of 136050864 is about 514.3204207618.

The spelling of 136050864 in words is "one hundred thirty-six million, fifty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 137 204 272 274 408 411 548 816 822 1096 1217 1644 2192 2329 2434 3288 3651 4658 4868 6576 6987 7302 9316 9736 13974 14604 18632 19472 20689 27948 29208 37264 41378 55896 58416 62067 82756 111792 124134 165512 166729 248268 331024 333458 496536 500187 666916 993072 1000374 1333832 2000748 2667664 2834393 4001496 5668786 8002992 8503179 11337572 17006358 22675144 34012716 45350288 68025432 136050864