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132684916 = 22713479761
BaseRepresentation
bin1111110100010…
…01110001110100
3100020200002111011
413322021301310
5232431404131
621055522004
73200542330
oct772116164
9306602434
10132684916
1168996161
1238529304
13216488b0
141389c7c0
15b9ae0b1
hex7e89c74

132684916 has 48 divisors (see below), whose sum is σ = 286755840. Its totient is φ = 52312320.

The previous prime is 132684887. The next prime is 132684919. The reversal of 132684916 is 619486231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132684919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173976 + ... + 174736.

It is an arithmetic number, because the mean of its divisors is an integer number (5974080).

Almost surely, 2132684916 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 132684916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143377920).

132684916 is an abundant number, since it is smaller than the sum of its proper divisors (154070924).

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

132684916 is a wasteful number, since it uses less digits than its factorization.

132684916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1262 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 132684916 is about 11518.8938705068. The cubic root of 132684916 is about 510.0434616300.

The spelling of 132684916 in words is "one hundred thirty-two million, six hundred eighty-four thousand, nine hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 479 761 958 1522 1916 3044 3353 5327 6227 6706 9893 10654 12454 13412 19786 21308 24908 39572 43589 69251 87178 138502 174356 277004 364519 729038 1458076 2551633 4738747 5103266 9477494 10206532 18954988 33171229 66342458 132684916