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132963960 = 23353121153
BaseRepresentation
bin1111110110011…
…01111001111000
3100021012021021010
413323031321320
5233014321320
621105513520
73203114013
oct773157170
9307167233
10132963960
1169066878
12386428a0
13217158cc
141393237a
15ba16ae0
hex7ecde78

132963960 has 96 divisors (see below), whose sum is σ = 412531920. Its totient is φ = 34283520.

The previous prime is 132963959. The next prime is 132964019. The reversal of 132963960 is 69369231.

It is a Cunningham number, because it is equal to 115312-1.

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, 114744 + ... + 115896.

Almost surely, 2132963960 is an apocalyptic number.

132963960 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 132963960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206265960).

132963960 is an abundant number, since it is smaller than the sum of its proper divisors (279567960).

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

132963960 is a wasteful number, since it uses less digits than its factorization.

132963960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 132963960 is about 11530.9999566386. Note that the first 4 decimals coincide. The cubic root of 132963960 is about 510.4007615054.

The spelling of 132963960 in words is "one hundred thirty-two million, nine hundred sixty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 961 1153 1240 1860 1922 2306 2883 3459 3720 3844 4612 4805 5765 5766 6918 7688 9224 9610 11530 11532 13836 14415 17295 19220 23060 23064 27672 28830 34590 35743 38440 46120 57660 69180 71486 107229 115320 138360 142972 178715 214458 285944 357430 428916 536145 714860 857832 1072290 1108033 1429720 2144580 2216066 3324099 4289160 4432132 5540165 6648198 8864264 11080330 13296396 16620495 22160660 26592792 33240990 44321320 66481980 132963960