Search a number
-
+
156097332 = 223217416221
BaseRepresentation
bin10010100110111…
…01101100110100
3101212201120021200
421103131230310
5304430103312
623253412500
73603543156
oct1123355464
9355646250
10156097332
1180127266
124433a130
13264552b1
1416a34ad6
15da860dc
hex94ddb34

156097332 has 72 divisors (see below), whose sum is σ = 428048712. Its totient is φ = 47769600.

The previous prime is 156097327. The next prime is 156097363. The reversal of 156097332 is 233790651.

156097332 is a `hidden beast` number, since 1 + 560 + 97 + 3 + 3 + 2 = 666.

156097332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 155900196 = 444^2 + 12486^2 .

It is a super-3 number, since 3×1560973323 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21982 + ... + 28202.

It is an arithmetic number, because the mean of its divisors is an integer number (5945121).

Almost surely, 2156097332 is an apocalyptic number.

156097332 is a gapful number since it is divisible by the number (12) 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 156097332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214024356).

156097332 is an abundant number, since it is smaller than the sum of its proper divisors (271951380).

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

156097332 is a wasteful number, since it uses less digits than its factorization.

156097332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6289 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 156097332 is about 12493.8917875896. The cubic root of 156097332 is about 538.4331949518.

The spelling of 156097332 in words is "one hundred fifty-six million, ninety-seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 612 697 738 1394 1476 2091 2788 4182 6221 6273 8364 12442 12546 18663 24884 25092 37326 55989 74652 105757 111978 211514 223956 255061 317271 423028 510122 634542 765183 951813 1020244 1269084 1530366 1903626 2295549 3060732 3807252 4336037 4591098 8672074 9182196 13008111 17344148 26016222 39024333 52032444 78048666 156097332