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132034656 = 25313472251
BaseRepresentation
bin1111101111010…
…11000001100000
3100012110001111110
413313223001200
5232300102111
621033543320
73162163455
oct767530140
9305401443
10132034656
1168591656
1238274b40
132147b920
141376d82c
15b8d15a6
hex7deb060

132034656 has 96 divisors (see below), whose sum is σ = 381362688. Its totient is φ = 39744000.

The previous prime is 132034649. The next prime is 132034681. The reversal of 132034656 is 656430231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 57531 + ... + 59781.

It is an arithmetic number, because the mean of its divisors is an integer number (3972528).

Almost surely, 2132034656 is an apocalyptic number.

132034656 is a gapful number since it is divisible by the number (16) 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 132034656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190681344).

132034656 is an abundant number, since it is smaller than the sum of its proper divisors (249328032).

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

132034656 is a wasteful number, since it uses less digits than its factorization.

132034656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 132034656 is about 11490.6334029069. The cubic root of 132034656 is about 509.2088926610.

Adding to 132034656 its reverse (656430231), we get a palindrome (788464887).

The spelling of 132034656 in words is "one hundred thirty-two million, thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 188 208 282 312 376 416 564 611 624 752 1128 1222 1248 1504 1833 2251 2256 2444 3666 4502 4512 4888 6753 7332 9004 9776 13506 14664 18008 19552 27012 29263 29328 36016 54024 58526 58656 72032 87789 105797 108048 117052 175578 211594 216096 234104 317391 351156 423188 468208 634782 702312 846376 936416 1269564 1375361 1404624 1692752 2539128 2750722 2809248 3385504 4126083 5078256 5501444 8252166 10156512 11002888 16504332 22005776 33008664 44011552 66017328 132034656