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132676984 = 23112413343
BaseRepresentation
bin1111110100001…
…11110101111000
3100020122200121101
413322013311320
5232431130414
621055421144
73200510236
oct772076570
9306580541
10132676984
1168990200
12385247b4
13216450bb
1413899956
15b9aba74
hex7e87d78

132676984 has 48 divisors (see below), whose sum is σ = 280193760. Its totient is φ = 58819200.

The previous prime is 132676979. The next prime is 132677063. The reversal of 132676984 is 489676231.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 38017 + ... + 41359.

It is an arithmetic number, because the mean of its divisors is an integer number (5837370).

Almost surely, 2132676984 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 132676984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140096880).

132676984 is an abundant number, since it is smaller than the sum of its proper divisors (147516776).

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

132676984 is a wasteful number, since it uses less digits than its factorization.

132676984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3397 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 132676984 is about 11518.5495614682. The cubic root of 132676984 is about 510.0332978388.

The spelling of 132676984 in words is "one hundred thirty-two million, six hundred seventy-six thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 41 44 82 88 121 164 242 328 451 484 902 968 1804 3343 3608 4961 6686 9922 13372 19844 26744 36773 39688 73546 137063 147092 274126 294184 404503 548252 809006 1096504 1507693 1618012 3015386 3236024 6030772 12061544 16584623 33169246 66338492 132676984