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75120136 = 23721314741
BaseRepresentation
bin1000111101000…
…11111000001000
312020100111110021
410132203320020
5123212321021
611242030224
71601340100
oct436437010
9166314407
1075120136
1139448963
12211a8374
13127421b0
149d96200
1568dcc41
hex47a3e08

75120136 has 48 divisors (see below), whose sum is σ = 176461740. Its totient is φ = 29715840.

The previous prime is 75120131. The next prime is 75120169. The reversal of 75120136 is 63102157.

It can be written as a sum of positive squares in 2 ways, for example, as 74132100 + 988036 = 8610^2 + 994^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 75120136.

It is not an unprimeable number, because it can be changed into a prime (75120131) 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, 2275 + ... + 12466.

Almost surely, 275120136 is an apocalyptic number.

It is an amenable number.

75120136 is an abundant number, since it is smaller than the sum of its proper divisors (101341604).

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

75120136 is a wasteful number, since it uses less digits than its factorization.

75120136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14774 (or 14763 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 75120136 is about 8667.1873176942. The cubic root of 75120136 is about 421.9413828123.

The spelling of 75120136 in words is "seventy-five million, one hundred twenty thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 14741 29482 58964 103187 117928 191633 206374 383266 412748 722309 766532 825496 1341431 1444618 1533064 2682862 2889236 5365724 5778472 9390017 10731448 18780034 37560068 75120136