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132814836 = 223371115971
BaseRepresentation
bin1111110101010…
…01011111110100
3100020220200201000
413322221133310
5233000033321
621102403300
73201623160
oct772513764
9306820630
10132814836
1168a74830
1238590530
1321692a7b
14138d3ca0
15b9d7826
hex7ea97f4

132814836 has 96 divisors (see below), whose sum is σ = 429327360. Its totient is φ = 34495200.

The previous prime is 132814783. The next prime is 132814853. The reversal of 132814836 is 638418231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132814836.

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, 331 + ... + 16301.

It is an arithmetic number, because the mean of its divisors is an integer number (4472160).

Almost surely, 2132814836 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 132814836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214663680).

132814836 is an abundant number, since it is smaller than the sum of its proper divisors (296512524).

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

132814836 is a wasteful number, since it uses less digits than its factorization.

132814836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16002 (or 15994 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 132814836 is about 11524.5319210804. The cubic root of 132814836 is about 510.2098790151.

The spelling of 132814836 in words is "one hundred thirty-two million, eight hundred fourteen thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 15971 31942 47913 63884 95826 111797 143739 175681 191652 223594 287478 335391 351362 431217 447188 527043 574956 670782 702724 862434 1006173 1054086 1229767 1341564 1581129 1724868 2012346 2108172 2459534 3018519 3162258 3689301 4024692 4743387 4919068 6037038 6324516 7378602 9486774 11067903 12074076 14757204 18973548 22135806 33203709 44271612 66407418 132814836