Search a number
-
+
163152132 = 2231113313067
BaseRepresentation
bin10011011100110…
…00000100000100
3102100222222122120
421232120010010
5313231332012
624104525540
74020525123
oct1156300404
9370888576
10163152132
1184105680
12467808b0
1327a55430
141794daba
15e4cb58c
hex9b98104

163152132 has 96 divisors (see below), whose sum is σ = 461819904. Its totient is φ = 44150400.

The previous prime is 163152131. The next prime is 163152137. The reversal of 163152132 is 231251361.

It is a super-2 number, since 2×1631521322 = 53237236352290848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (163152131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51663 + ... + 54729.

It is an arithmetic number, because the mean of its divisors is an integer number (4810624).

Almost surely, 2163152132 is an apocalyptic number.

163152132 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 163152132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230909952).

163152132 is an abundant number, since it is smaller than the sum of its proper divisors (298667772).

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

163152132 is a wasteful number, since it uses less digits than its factorization.

163152132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3127 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 163152132 is about 12773.1018942150. The cubic root of 163152132 is about 546.4254489682.

The spelling of 163152132 in words is "one hundred sixty-three million, one hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 31 33 39 44 52 62 66 78 93 124 132 143 156 186 286 341 372 403 429 572 682 806 858 1023 1209 1364 1612 1716 2046 2418 3067 4092 4433 4836 6134 8866 9201 12268 13299 17732 18402 26598 33737 36804 39871 53196 67474 79742 95077 101211 119613 134948 159484 190154 202422 239226 285231 380308 404844 438581 478452 570462 877162 1045847 1140924 1236001 1315743 1754324 2091694 2472002 2631486 3137541 3708003 4183388 4944004 5262972 6275082 7416006 12550164 13596011 14832012 27192022 40788033 54384044 81576066 163152132