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132690852 = 223371671051
BaseRepresentation
bin1111110100010…
…11001110100100
3100020200101122000
413322023032210
5232432101402
621100005300
73200565540
oct772131644
9306611560
10132690852
116899a668
1238530830
132164b4c8
14138a0a20
15b9b0c1c
hex7e8b3a4

132690852 has 96 divisors (see below), whose sum is σ = 395888640. Its totient is φ = 37648800.

The previous prime is 132690829. The next prime is 132690869. The reversal of 132690852 is 258096231.

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

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, 125727 + ... + 126777.

It is an arithmetic number, because the mean of its divisors is an integer number (4123840).

Almost surely, 2132690852 is an apocalyptic number.

132690852 is a gapful number since it is divisible by the number (12) 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 132690852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197944320).

132690852 is an abundant number, since it is smaller than the sum of its proper divisors (263197788).

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

132690852 is a wasteful number, since it uses less digits than its factorization.

132690852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 132690852 is about 11519.1515312544. The cubic root of 132690852 is about 510.0510675507.

The spelling of 132690852 in words is "one hundred thirty-two million, six hundred ninety thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 167 189 252 334 378 501 668 756 1002 1051 1169 1503 2004 2102 2338 3006 3153 3507 4204 4509 4676 6012 6306 7014 7357 9018 9459 10521 12612 14028 14714 18036 18918 21042 22071 28377 29428 31563 37836 42084 44142 56754 63126 66213 88284 113508 126252 132426 175517 198639 264852 351034 397278 526551 702068 794556 1053102 1228619 1579653 2106204 2457238 3159306 3685857 4738959 4914476 6318612 7371714 9477918 11057571 14743428 18955836 22115142 33172713 44230284 66345426 132690852