Search a number
-
+
132663528 = 2333614183
BaseRepresentation
bin1111110100001…
…00100011101000
3100020122000011000
413322010203220
5232430213103
621055235000
73200423064
oct772044350
9306560130
10132663528
1168981088
1238518a60
132163bc3a
1413894aa4
15b9a7aa3
hex7e848e8

132663528 has 32 divisors (see below), whose sum is σ = 368510400. Its totient is φ = 44221104.

The previous prime is 132663481. The next prime is 132663533. The reversal of 132663528 is 825366231.

It is a happy number.

132663528 is a `hidden beast` number, since 13 + 2 + 6 + 635 + 2 + 8 = 666.

It is a super-2 number, since 2×1326635282 = 35199223322813568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 132663492 and 132663501.

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 7 ways as a sum of consecutive naturals, for example, 306876 + ... + 307307.

It is an arithmetic number, because the mean of its divisors is an integer number (11515950).

Almost surely, 2132663528 is an apocalyptic number.

132663528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132663528 is an abundant number, since it is smaller than the sum of its proper divisors (235846872).

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

132663528 is a wasteful number, since it uses less digits than its factorization.

132663528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614198 (or 614188 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 132663528 is about 11517.9654453380. The cubic root of 132663528 is about 510.0160548579.

The spelling of 132663528 in words is "one hundred thirty-two million, six hundred sixty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 614183 1228366 1842549 2456732 3685098 4913464 5527647 7370196 11055294 14740392 16582941 22110588 33165882 44221176 66331764 132663528