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132465645 = 3351375479
BaseRepresentation
bin1111110010101…
…00001111101101
3100020020221201000
413321110033231
5232402400040
621051110513
73165640134
oct771241755
9306227630
10132465645
1168856444
1238442439
132159cb50
141384291b
15b969130
hex7e543ed

132465645 has 32 divisors (see below), whose sum is σ = 253612800. Its totient is φ = 65212992.

The previous prime is 132465643. The next prime is 132465653. The reversal of 132465645 is 546564231.

132465645 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 6 + 5 + 645 = 666.

It is not a de Polignac number, because 132465645 - 21 = 132465643 is a prime.

It is a super-3 number, since 3×1324656453 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132465643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35985 + ... + 39494.

It is an arithmetic number, because the mean of its divisors is an integer number (7925400).

Almost surely, 2132465645 is an apocalyptic number.

132465645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132465645 is a deficient number, since it is larger than the sum of its proper divisors (121147155).

132465645 is a wasteful number, since it uses less digits than its factorization.

132465645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75506 (or 75500 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 132465645 is about 11509.3720506377. The cubic root of 132465645 is about 509.7623460207.

The spelling of 132465645 in words is "one hundred thirty-two million, four hundred sixty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 75479 226437 377395 679311 981227 1132185 2037933 2943681 3396555 4906135 8831043 10189665 14718405 26493129 44155215 132465645