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132287792 = 24713229241
BaseRepresentation
bin1111110001010…
…00110100110000
3100012220220201212
413320220310300
5232331202132
621043215252
73164266460
oct770506460
9305826655
10132287792
116874485a
1238377528
1321539c00
14137d7ba0
15b9315b2
hex7e28d30

132287792 has 120 divisors (see below), whose sum is σ = 329487840. Its totient is φ = 50319360.

The previous prime is 132287773. The next prime is 132287801. The reversal of 132287792 is 297782231.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 548792 + ... + 549032.

It is an arithmetic number, because the mean of its divisors is an integer number (2745732).

Almost surely, 2132287792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132287792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164743920).

132287792 is an abundant number, since it is smaller than the sum of its proper divisors (197200048).

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

132287792 is a wasteful number, since it uses less digits than its factorization.

132287792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 292 counting only the distinct ones).

The product of its digits is 84672, while the sum is 41.

The square root of 132287792 is about 11501.6430130656. The cubic root of 132287792 is about 509.5341022661.

The spelling of 132287792 in words is "one hundred thirty-two million, two hundred eighty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 52 56 58 91 104 112 116 169 182 203 208 232 241 338 364 377 406 464 482 676 728 754 812 964 1183 1352 1456 1508 1624 1687 1928 2366 2639 2704 3016 3133 3248 3374 3856 4732 4901 5278 6032 6266 6748 6989 9464 9802 10556 12532 13496 13978 18928 19604 21112 21931 25064 26992 27956 34307 39208 40729 42224 43862 48923 50128 55912 68614 78416 81458 87724 90857 97846 111824 137228 162916 175448 181714 195692 274456 285103 325832 350896 363428 391384 548912 570206 635999 651664 726856 782768 1140412 1181141 1271998 1453712 2280824 2362282 2543996 4561648 4724564 5087992 8267987 9449128 10175984 16535974 18898256 33071948 66143896 132287792