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132522984 = 2332111491123
BaseRepresentation
bin1111110011000…
…10001111101000
3100020100212100200
413321202033220
5232411213414
621052232200
73166266246
oct771421750
9306325320
10132522984
1168895530
123846b660
13215bcc89
1413859796
15b97b109
hex7e623e8

132522984 has 96 divisors (see below), whose sum is σ = 394524000. Its totient is φ = 39853440.

The previous prime is 132522919. The next prime is 132523063. The reversal of 132522984 is 489225231.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 117447 + ... + 118569.

It is an arithmetic number, because the mean of its divisors is an integer number (4109625).

Almost surely, 2132522984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132522984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197262000).

132522984 is an abundant number, since it is smaller than the sum of its proper divisors (262001016).

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

132522984 is a wasteful number, since it uses less digits than its factorization.

132522984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1288 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 132522984 is about 11511.8627510929. The cubic root of 132522984 is about 509.8358872189.

The spelling of 132522984 in words is "one hundred thirty-two million, five hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 149 198 264 298 396 447 596 792 894 1123 1192 1341 1639 1788 2246 2682 3278 3369 3576 4492 4917 5364 6556 6738 8984 9834 10107 10728 12353 13112 13476 14751 19668 20214 24706 26952 29502 37059 39336 40428 49412 59004 74118 80856 98824 111177 118008 148236 167327 222354 296472 334654 444708 501981 669308 889416 1003962 1338616 1505943 1840597 2007924 3011886 3681194 4015848 5521791 6023772 7362388 11043582 12047544 14724776 16565373 22087164 33130746 44174328 66261492 132522984