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132654140 = 22543732113
BaseRepresentation
bin1111110100000…
…10010000111100
3100020121112021022
413322002100330
5232424413030
621055123312
73200353523
oct772022074
9306545238
10132654140
1168975023
1238513538
1321637898
14138914ba
15b9a4de5
hex7e8243c

132654140 has 48 divisors (see below), whose sum is σ = 289093728. Its totient is φ = 51093504.

The previous prime is 132654121. The next prime is 132654187. The reversal of 132654140 is 41456231.

132654140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1326541403 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61724 + ... + 63836.

It is an arithmetic number, because the mean of its divisors is an integer number (6022786).

Almost surely, 2132654140 is an apocalyptic number.

132654140 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 132654140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144546864).

132654140 is an abundant number, since it is smaller than the sum of its proper divisors (156439588).

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

132654140 is a wasteful number, since it uses less digits than its factorization.

132654140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 132654140 is about 11517.5579008746. The cubic root of 132654140 is about 510.0040240615.

The spelling of 132654140 in words is "one hundred thirty-two million, six hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 73 86 146 172 215 292 365 430 730 860 1460 2113 3139 4226 6278 8452 10565 12556 15695 21130 31390 42260 62780 90859 154249 181718 308498 363436 454295 616996 771245 908590 1542490 1817180 3084980 6632707 13265414 26530828 33163535 66327070 132654140