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132581124 = 22341331477
BaseRepresentation
bin1111110011100…
…00011100000100
3100020110211010000
413321300130010
5232420043444
621053401300
73166630614
oct771603404
9306424100
10132581124
1168925185
1238499230
1321610590
1413872a44
15b98d469
hex7e70704

132581124 has 60 divisors (see below), whose sum is σ = 373266124. Its totient is φ = 40792896.

The previous prime is 132581123. The next prime is 132581149. The reversal of 132581124 is 421185231.

It can be written as a sum of positive squares in 2 ways, for example, as 51581124 + 81000000 = 7182^2 + 9000^2 .

It is a super-2 number, since 2×1325811242 = 35155508882206752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132581123) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 11527 + ... + 19950.

Almost surely, 2132581124 is an apocalyptic number.

It is an amenable number.

132581124 is an abundant number, since it is smaller than the sum of its proper divisors (240685000).

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

132581124 is a wasteful number, since it uses less digits than its factorization.

132581124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31506 (or 31495 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 132581124 is about 11514.3876954009. The cubic root of 132581124 is about 509.9104340984.

The spelling of 132581124 in words is "one hundred thirty-two million, five hundred eighty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 31477 62954 94431 125908 188862 283293 377724 409201 566586 818402 849879 1133172 1227603 1636804 1699758 2455206 2549637 3399516 3682809 4910412 5099274 7365618 10198548 11048427 14731236 22096854 33145281 44193708 66290562 132581124