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132681560 = 235111959269
BaseRepresentation
bin1111110100010…
…00111101011000
3100020122220212212
413322020331120
5232431302220
621055454252
73200526464
oct772107530
9306586785
10132681560
1168993690
1238527388
13216471cb
141389b4a4
15b9ad0c5
hex7e88f58

132681560 has 128 divisors (see below), whose sum is σ = 349920000. Its totient is φ = 44766720.

The previous prime is 132681533. The next prime is 132681569. The reversal of 132681560 is 65186231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132681569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493106 + ... + 493374.

It is an arithmetic number, because the mean of its divisors is an integer number (2733750).

Almost surely, 2132681560 is an apocalyptic number.

132681560 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 132681560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174960000).

132681560 is an abundant number, since it is smaller than the sum of its proper divisors (217238440).

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

132681560 is a wasteful number, since it uses less digits than its factorization.

132681560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 132681560 is about 11518.7481958761. The cubic root of 132681560 is about 510.0391614168.

The spelling of 132681560 in words is "one hundred thirty-two million, six hundred eighty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 59 76 88 95 110 118 152 190 209 220 236 269 295 380 418 440 472 538 590 649 760 836 1045 1076 1121 1180 1298 1345 1672 2090 2152 2242 2360 2596 2690 2959 3245 4180 4484 5111 5192 5380 5605 5918 6490 8360 8968 10222 10760 11210 11836 12331 12980 14795 15871 20444 22420 23672 24662 25555 25960 29590 31742 40888 44840 49324 51110 56221 59180 61655 63484 79355 98648 102220 112442 118360 123310 126968 158710 174581 204440 224884 246620 281105 301549 317420 349162 449768 493240 562210 603098 634840 698324 872905 1124420 1206196 1396648 1507745 1745810 2248840 2412392 3015490 3317039 3491620 6030980 6634078 6983240 12061960 13268156 16585195 26536312 33170390 66340780 132681560