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132968612 = 227192310867
BaseRepresentation
bin1111110110011…
…11000010100100
3100021012111122102
413323033002210
5233014443422
621105551232
73203133410
oct773170244
9307174572
10132968612
116906a317
1238645518
1321717a6a
1413933d40
15ba18192
hex7ecf0a4

132968612 has 48 divisors (see below), whose sum is σ = 292131840. Its totient is φ = 51635232.

The previous prime is 132968597. The next prime is 132968653. The reversal of 132968612 is 216869231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6803 + ... + 17669.

It is an arithmetic number, because the mean of its divisors is an integer number (6086080).

Almost surely, 2132968612 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 132968612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146065920).

132968612 is an abundant number, since it is smaller than the sum of its proper divisors (159163228).

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

132968612 is a wasteful number, since it uses less digits than its factorization.

132968612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10920 (or 10918 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 132968612 is about 11531.2016719854. The cubic root of 132968612 is about 510.4067138869.

The spelling of 132968612 in words is "one hundred thirty-two million, nine hundred sixty-eight thousand, six hundred twelve".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 437 532 644 874 1748 3059 6118 10867 12236 21734 43468 76069 152138 206473 249941 304276 412946 499882 825892 999764 1445311 1749587 2890622 3499174 4748879 5781244 6998348 9497758 18995516 33242153 66484306 132968612