Search a number
-
+
156542112 = 2533181183
BaseRepresentation
bin10010101010010…
…10010010100000
3101220120011102000
421111022102200
5310033321422
623311124000
73610404666
oct1125122240
9356504360
10156542112
1180400451
1244513600
132657c88c
1416b0cc36
15db22cac
hex954a4a0

156542112 has 48 divisors (see below), whose sum is σ = 456583680. Its totient is φ = 52180416.

The previous prime is 156542077. The next prime is 156542119. The reversal of 156542112 is 211245651.

156542112 is a `hidden beast` number, since 1 + 5 + 6 + 542 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (156542119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89728 + ... + 91455.

It is an arithmetic number, because the mean of its divisors is an integer number (9512160).

Almost surely, 2156542112 is an apocalyptic number.

156542112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

156542112 is an abundant number, since it is smaller than the sum of its proper divisors (300041568).

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

156542112 is a wasteful number, since it uses less digits than its factorization.

156542112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181202 (or 181188 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 156542112 is about 12511.6790240159. The cubic root of 156542112 is about 538.9441095470.

Adding to 156542112 its reverse (211245651), we get a palindrome (367787763).

It can be divided in two parts, 15654 and 2112, that added together give a triangular number (17766 = T188).

The spelling of 156542112 in words is "one hundred fifty-six million, five hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 181183 362366 543549 724732 1087098 1449464 1630647 2174196 2898928 3261294 4348392 4891941 5797856 6522588 8696784 9783882 13045176 17393568 19567764 26090352 39135528 52180704 78271056 156542112