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132323140 = 22523307937
BaseRepresentation
bin1111110001100…
…01011101000100
3100012222201020001
413320301131010
5232333320030
621044051044
73164504515
oct770613504
9305881201
10132323140
1168769374
1238393a84
1321550021
1413806a0c
15b93bcca
hex7e31744

132323140 has 48 divisors (see below), whose sum is σ = 291215232. Its totient is φ = 50409216.

The previous prime is 132323131. The next prime is 132323167. The reversal of 132323140 is 41323231.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140752 + ... + 141688.

It is an arithmetic number, because the mean of its divisors is an integer number (6066984).

Almost surely, 2132323140 is an apocalyptic number.

132323140 is a gapful number since it is divisible by the number (10) 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 132323140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145607616).

132323140 is an abundant number, since it is smaller than the sum of its proper divisors (158892092).

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

132323140 is a wasteful number, since it uses less digits than its factorization.

132323140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 132323140 is about 11503.1795604520. The cubic root of 132323140 is about 509.5794816298.

Adding to 132323140 its reverse (41323231), we get a palindrome (173646371).

Subtracting from 132323140 its reverse (41323231), we obtain a palindrome (90999909).

The spelling of 132323140 in words is "one hundred thirty-two million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 307 460 614 937 1228 1535 1874 3070 3748 4685 6140 7061 9370 14122 18740 21551 28244 35305 43102 70610 86204 107755 141220 215510 287659 431020 575318 1150636 1438295 2876590 5753180 6616157 13232314 26464628 33080785 66161570 132323140