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132612816 = 2437256383
BaseRepresentation
bin1111110011110…
…00001011010000
3100020112102120210
413321320023100
5232422102231
621054204120
73200122200
oct771701320
9306472523
10132612816
1168946a76
12384b3640
1321621b2b
1413880400
15b997a46
hex7e782d0

132612816 has 60 divisors (see below), whose sum is σ = 398522112. Its totient is φ = 37888704.

The previous prime is 132612763. The next prime is 132612859. The reversal of 132612816 is 618216231.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25840 + ... + 30543.

Almost surely, 2132612816 is an apocalyptic number.

132612816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132612816 is an abundant number, since it is smaller than the sum of its proper divisors (265909296).

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

132612816 is a wasteful number, since it uses less digits than its factorization.

132612816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56408 (or 56395 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 132612816 is about 11515.7638044552. The cubic root of 132612816 is about 509.9510602789.

The spelling of 132612816 in words is "one hundred thirty-two million, six hundred twelve thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 56383 112766 169149 225532 338298 394681 451064 676596 789362 902128 1184043 1353192 1578724 2368086 2706384 2762767 3157448 4736172 5525534 6314896 8288301 9472344 11051068 16576602 18944688 22102136 33153204 44204272 66306408 132612816