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132772992 = 2731117432
BaseRepresentation
bin1111110100111…
…11010010000000
3100020211120022020
413322133102000
5232442213432
621101441440
73201360162
oct772372200
9306746266
10132772992
1168a46350
1238570280
1321679a01
14138c2932
15b9ca22c
hex7e9f480

132772992 has 192 divisors, whose sum is σ = 417065760. Its totient is φ = 36986880.

The previous prime is 132772973. The next prime is 132773023. The reversal of 132772992 is 299277231.

It is a tau number, because it is divible by the number of its divisors (192).

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, 3087723 + ... + 3087765.

Almost surely, 2132772992 is an apocalyptic number.

132772992 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 132772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208532880).

132772992 is an abundant number, since it is smaller than the sum of its proper divisors (284292768).

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

132772992 is a wasteful number, since it uses less digits than its factorization.

132772992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 76 counting only the distinct ones).

The product of its digits is 95256, while the sum is 42.

The square root of 132772992 is about 11522.7163464176. The cubic root of 132772992 is about 510.1562919680.

The spelling of 132772992 in words is "one hundred thirty-two million, seven hundred seventy-two thousand, nine hundred ninety-two".