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132332172 = 223715110433
BaseRepresentation
bin1111110001100…
…11101010001100
3100020000011121120
413320303222030
5232334112142
621044200540
73164543040
oct770635214
9306004546
10132332172
1168775135
1238399150
132155417b
141380a020
15b93e7ec
hex7e33a8c

132332172 has 48 divisors (see below), whose sum is σ = 355256832. Its totient is φ = 37555200.

The previous prime is 132332171. The next prime is 132332183. The reversal of 132332172 is 271233231.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132332171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7468 + ... + 17900.

It is an arithmetic number, because the mean of its divisors is an integer number (7401184).

Almost surely, 2132332172 is an apocalyptic number.

132332172 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 132332172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177628416).

132332172 is an abundant number, since it is smaller than the sum of its proper divisors (222924660).

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

132332172 is a wasteful number, since it uses less digits than its factorization.

132332172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10598 (or 10596 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 132332172 is about 11503.5721408613. The cubic root of 132332172 is about 509.5910755132.

The spelling of 132332172 in words is "one hundred thirty-two million, three hundred thirty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 151 302 453 604 906 1057 1812 2114 3171 4228 6342 10433 12684 20866 31299 41732 62598 73031 125196 146062 219093 292124 438186 876372 1575383 3150766 4726149 6301532 9452298 11027681 18904596 22055362 33083043 44110724 66166086 132332172