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132860520 = 23335139463
BaseRepresentation
bin1111110101101…
…00101001101000
3100021000000101000
413322310221220
5233003014040
621103355000
73202203312
oct772645150
9307000330
10132860520
1168aa6091
12385b2a60
13216aa7c0
14139067b2
15b9e6130
hex7eb4a68

132860520 has 128 divisors (see below), whose sum is σ = 476985600. Its totient is φ = 32700672.

The previous prime is 132860503. The next prime is 132860527. The reversal of 132860520 is 25068231.

132860520 is a `hidden beast` number, since 1 + 32 + 8 + 605 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132860527) 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, 9309 + ... + 18771.

It is an arithmetic number, because the mean of its divisors is an integer number (3726450).

Almost surely, 2132860520 is an apocalyptic number.

132860520 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 132860520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238492800).

132860520 is an abundant number, since it is smaller than the sum of its proper divisors (344125080).

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

132860520 is a wasteful number, since it uses less digits than its factorization.

132860520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9496 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 132860520 is about 11526.5137834473. The cubic root of 132860520 is about 510.2683708645.

The spelling of 132860520 in words is "one hundred thirty-two million, eight hundred sixty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 9463 14040 18926 28389 37852 47315 56778 75704 85167 94630 113556 123019 141945 170334 189260 227112 246038 255501 283890 340668 369057 378520 425835 492076 511002 567780 615095 681336 738114 851670 984152 1022004 1107171 1135560 1230190 1277505 1476228 1703340 1845285 2044008 2214342 2460380 2555010 2952456 3321513 3406680 3690570 4428684 4920760 5110020 5535855 6643026 7381140 8857368 10220040 11071710 13286052 14762280 16607565 22143420 26572104 33215130 44286840 66430260 132860520