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136100272 = 24711611811
BaseRepresentation
bin10000001110010…
…11100110110000
3100111002121110211
420013023212300
5234320202042
621301033504
73241555540
oct1007134660
9314077424
10136100272
116a909170
12396b5894
1322273309
141410b320
15be36017
hex81cb9b0

136100272 has 80 divisors (see below), whose sum is σ = 334335744. Its totient is φ = 52128000.

The previous prime is 136100267. The next prime is 136100291. The reversal of 136100272 is 272001631.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 74247 + ... + 76057.

Almost surely, 2136100272 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 136100272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167167872).

136100272 is an abundant number, since it is smaller than the sum of its proper divisors (198235472).

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

136100272 is a wasteful number, since it uses less digits than its factorization.

136100272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 136100272 is about 11666.2021240848. The cubic root of 136100272 is about 514.3826731359.

The spelling of 136100272 in words is "one hundred thirty-six million, one hundred thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 61 77 88 112 122 154 176 244 308 427 488 616 671 854 976 1232 1342 1708 1811 2684 3416 3622 4697 5368 6832 7244 9394 10736 12677 14488 18788 19921 25354 28976 37576 39842 50708 75152 79684 101416 110471 139447 159368 202832 220942 278894 318736 441884 557788 773297 883768 1115576 1215181 1546594 1767536 2231152 2430362 3093188 4860724 6186376 8506267 9721448 12372752 17012534 19442896 34025068 68050136 136100272