Search a number
-
+
156207132 = 2232194347113
BaseRepresentation
bin10010100111110…
…00100000011100
3101212221010220100
421103320200130
5304442112012
623300021100
73604511244
oct1123704034
9355833810
10156207132
11801a1804
1244391790
1326493273
1416a62b24
15daa88dc
hex94f881c

156207132 has 144 divisors (see below), whose sum is σ = 438197760. Its totient is φ = 46738944.

The previous prime is 156207131. The next prime is 156207133. The reversal of 156207132 is 231702651.

It is a happy number.

156207132 is a `hidden beast` number, since 1 + 5 + 620 + 7 + 1 + 32 = 666.

156207132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (156207131) and next prime (156207133).

It is a junction number, because it is equal to n+sod(n) for n = 156207096 and 156207105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156207131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1382308 + ... + 1382420.

It is an arithmetic number, because the mean of its divisors is an integer number (3043040).

Almost surely, 2156207132 is an apocalyptic number.

156207132 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 156207132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219098880).

156207132 is an abundant number, since it is smaller than the sum of its proper divisors (281990628).

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

156207132 is a wasteful number, since it uses less digits than its factorization.

156207132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 156207132 is about 12498.2851623733. The cubic root of 156207132 is about 538.5594113060.

Adding to 156207132 its reverse (231702651), we get a palindrome (387909783).

The spelling of 156207132 in words is "one hundred fifty-six million, two hundred seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 47 57 76 86 94 113 114 129 141 171 172 188 226 228 258 282 339 342 387 423 452 516 564 678 684 774 817 846 893 1017 1356 1548 1634 1692 1786 2021 2034 2147 2451 2679 3268 3572 4042 4068 4294 4859 4902 5311 5358 6063 6441 7353 8037 8084 8588 9718 9804 10622 10716 12126 12882 14577 14706 15933 16074 18189 19323 19436 21244 24252 25764 29154 29412 31866 32148 36378 38399 38646 43731 47799 58308 63732 72756 76798 77292 87462 92321 95598 100909 115197 153596 174924 184642 191196 201818 228373 230394 276963 302727 345591 369284 403636 456746 460788 553926 605454 685119 691182 830889 908181 913492 1107852 1210908 1370238 1382364 1661778 1816362 2055357 2740476 3323556 3632724 4110714 4339087 8221428 8678174 13017261 17356348 26034522 39051783 52069044 78103566 156207132