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132185520 = 2434520399
BaseRepresentation
bin1111110000011…
…11110110110000
3100012201201110000
413320033312300
5232314414040
621041110000
73163362345
oct770176660
9305651400
10132185520
1168684a35
1238328300
13215024ac
14137ac7cc
15b911130
hex7e0fdb0

132185520 has 100 divisors (see below), whose sum is σ = 459122400. Its totient is φ = 35247744.

The previous prime is 132185461. The next prime is 132185533. The reversal of 132185520 is 25581231.

It is a happy number.

132185520 is a `hidden beast` number, since 132 + 1 + 8 + 5 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3720 + ... + 16679.

It is an arithmetic number, because the mean of its divisors is an integer number (4591224).

Almost surely, 2132185520 is an apocalyptic number.

132185520 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 132185520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229561200).

132185520 is an abundant number, since it is smaller than the sum of its proper divisors (326936880).

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

132185520 is a wasteful number, since it uses less digits than its factorization.

132185520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20424 (or 20409 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 132185520 is about 11497.1961799388. The cubic root of 132185520 is about 509.4027610800.

The spelling of 132185520 in words is "one hundred thirty-two million, one hundred eighty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 20399 40798 61197 81596 101995 122394 163192 183591 203990 244788 305985 326384 367182 407980 489576 550773 611970 734364 815960 917955 979152 1101546 1223940 1468728 1631920 1652319 1835910 2203092 2447880 2753865 2937456 3304638 3671820 4406184 4895760 5507730 6609276 7343640 8261595 8812368 11015460 13218552 14687280 16523190 22030920 26437104 33046380 44061840 66092760 132185520