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132682564 = 22761131593
BaseRepresentation
bin1111110100010…
…01001101000100
3100020122222021001
413322021031010
5232431320224
621055503044
73200532430
oct772111504
9306588231
10132682564
1168994413
1238527a84
13216477c1
141389b9c0
15b9ad544
hex7e89344

132682564 has 48 divisors (see below), whose sum is σ = 272232576. Its totient is φ = 55411200.

The previous prime is 132682553. The next prime is 132682577. The reversal of 132682564 is 465286231.

It is a super-2 number, since 2×1326825642 = 35209325579228192, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 223452 + ... + 224044.

It is an arithmetic number, because the mean of its divisors is an integer number (5671512).

Almost surely, 2132682564 is an apocalyptic number.

132682564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132682564 is an abundant number, since it is smaller than the sum of its proper divisors (139550012).

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

132682564 is a wasteful number, since it uses less digits than its factorization.

132682564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 794 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 132682564 is about 11518.7917769183. The cubic root of 132682564 is about 510.0404479006.

It can be divided in two parts, 132 and 682564, that added together give a triangular number (682696 = T1168).

The spelling of 132682564 in words is "one hundred thirty-two million, six hundred eighty-two thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 61 122 131 244 262 427 524 593 854 917 1186 1708 1834 2372 3668 4151 7991 8302 15982 16604 31964 36173 55937 72346 77683 111874 144692 155366 223748 253211 310732 506422 543781 1012844 1087562 2175124 4738663 9477326 18954652 33170641 66341282 132682564