Search a number
-
+
132272172 = 223217239397
BaseRepresentation
bin1111110001001…
…01000000101100
3100012220010022100
413320211000230
5232330202142
621043015100
73164203104
oct770450054
9305803270
10132272172
116873404a
123836a490
1321532a76
14137d2204
15b92bb4c
hex7e2502c

132272172 has 72 divisors (see below), whose sum is σ = 369454176. Its totient is φ = 39688704.

The previous prime is 132272123. The next prime is 132272177. The reversal of 132272172 is 271272231.

It is not an unprimeable number, because it can be changed into a prime (132272177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9378 + ... + 18774.

It is an arithmetic number, because the mean of its divisors is an integer number (5131308).

Almost surely, 2132272172 is an apocalyptic number.

132272172 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 132272172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184727088).

132272172 is an abundant number, since it is smaller than the sum of its proper divisors (237182004).

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

132272172 is a wasteful number, since it uses less digits than its factorization.

132272172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9447 (or 9442 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 132272172 is about 11500.9639595992. The cubic root of 132272172 is about 509.5140469110.

The spelling of 132272172 in words is "one hundred thirty-two million, two hundred seventy-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 612 782 828 1173 1564 2346 3519 4692 7038 9397 14076 18794 28191 37588 56382 84573 112764 159749 169146 216131 319498 338292 432262 479247 638996 648393 864524 958494 1296786 1437741 1916988 1945179 2593572 2875482 3674227 3890358 5750964 7348454 7780716 11022681 14696908 22045362 33068043 44090724 66136086 132272172