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132376608 = 25327135051
BaseRepresentation
bin1111110001111…
…10100000100000
3100020002102120100
413320332200200
5232342022413
621045142400
73165116430
oct770764040
9306072510
10132376608
11687a5561
12383baa00
132156b470
141381c2c0
15b94ca73
hex7e3e820

132376608 has 144 divisors (see below), whose sum is σ = 463409856. Its totient is φ = 34905600.

The previous prime is 132376597. The next prime is 132376613. The reversal of 132376608 is 806673231.

It is a happy number.

132376608 is a `hidden beast` number, since 13 + 2 + 37 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23683 + ... + 28733.

It is an arithmetic number, because the mean of its divisors is an integer number (3218124).

Almost surely, 2132376608 is an apocalyptic number.

132376608 is a gapful number since it is divisible by the number (18) 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 132376608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231704928).

132376608 is an abundant number, since it is smaller than the sum of its proper divisors (331033248).

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

132376608 is a wasteful number, since it uses less digits than its factorization.

132376608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 132376608 is about 11505.5033788183. The cubic root of 132376608 is about 509.6481078901.

The spelling of 132376608 in words is "one hundred thirty-two million, three hundred seventy-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 5051 6552 8736 10102 13104 15153 20204 26208 30306 35357 40408 45459 60612 65663 70714 80816 90918 106071 121224 131326 141428 161632 181836 196989 212142 242448 262652 282856 318213 363672 393978 424284 459641 484896 525304 565712 590967 636426 727344 787956 848568 919282 1050608 1131424 1181934 1272852 1378923 1454688 1575912 1697136 1838564 2101216 2363868 2545704 2757846 3151824 3394272 3677128 4136769 4727736 5091408 5515692 6303648 7354256 8273538 9455472 10182816 11031384 14708512 16547076 18910944 22062768 33094152 44125536 66188304 132376608