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157112060 = 22577315373
BaseRepresentation
bin10010101110101…
…01011011111100
3101221122010020012
421113111123330
5310210041220
623331242352
73615300440
oct1127253374
9357563205
10157112060
118075a686
12447493b8
132671c121
1416c1a820
15dbd6ac5
hex95d56fc

157112060 has 48 divisors (see below), whose sum is σ = 382259136. Its totient is φ = 53125632.

The previous prime is 157112029. The next prime is 157112071. The reversal of 157112060 is 60211751.

157112060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2534 + ... + 17906.

It is an arithmetic number, because the mean of its divisors is an integer number (7963732).

Almost surely, 2157112060 is an apocalyptic number.

157112060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157112060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191129568).

157112060 is an abundant number, since it is smaller than the sum of its proper divisors (225147076).

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

157112060 is a wasteful number, since it uses less digits than its factorization.

157112060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15462 (or 15460 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 157112060 is about 12534.4349693155. The cubic root of 157112060 is about 539.5973908010.

It can be divided in two parts, 15711 and 2060, that added together give a palindrome (17771).

The spelling of 157112060 in words is "one hundred fifty-seven million, one hundred twelve thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1460 2044 2555 5110 10220 15373 30746 61492 76865 107611 153730 215222 307460 430444 538055 1076110 1122229 2152220 2244458 4488916 5611145 7855603 11222290 15711206 22444580 31422412 39278015 78556030 157112060