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132156630 = 23354311383
BaseRepresentation
bin1111110000010…
…00110011010110
3100012200020211000
413320020303112
5232313003010
621040324130
73163212204
oct770106326
9305606730
10132156630
1168665261
1238313646
13214c22b8
14137a2074
15b9077c0
hex7e08cd6

132156630 has 64 divisors (see below), whose sum is σ = 360645120. Its totient is φ = 34419168.

The previous prime is 132156611. The next prime is 132156649. The reversal of 132156630 is 36651231.

132156630 is a `hidden beast` number, since 1 + 3 + 21 + 5 + 6 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (132156611) and next prime (132156649).

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

It is a junction number, because it is equal to n+sod(n) for n = 132156594 and 132156603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5919 + ... + 17301.

It is an arithmetic number, because the mean of its divisors is an integer number (5635080).

Almost surely, 2132156630 is an apocalyptic number.

132156630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132156630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180322560).

132156630 is an abundant number, since it is smaller than the sum of its proper divisors (228488490).

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

132156630 is a wasteful number, since it uses less digits than its factorization.

132156630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11442 (or 11436 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 132156630 is about 11495.9397180048. The cubic root of 132156630 is about 509.3656472871.

The spelling of 132156630 in words is "one hundred thirty-two million, one hundred fifty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1935 2322 3870 5805 11383 11610 22766 34149 56915 68298 102447 113830 170745 204894 307341 341490 489469 512235 614682 978938 1024470 1468407 1536705 2447345 2936814 3073410 4405221 4894690 7342035 8810442 13215663 14684070 22026105 26431326 44052210 66078315 132156630