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132997824 = 2632733163
BaseRepresentation
bin1111110110101…
…10001011000000
3100021020222201100
413323112023000
5233021412244
621110334400
73203314521
oct773261300
9307228640
10132997824
116908a263
123865a400
132172814b
1413940848
15ba21b69
hex7ed62c0

132997824 has 84 divisors (see below), whose sum is σ = 386558536. Its totient is φ = 43711488.

The previous prime is 132997807. The next prime is 132997861. The reversal of 132997824 is 428799231.

It is a self number, because there is not a number n which added to its sum of digits gives 132997824.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40467 + ... + 43629.

Almost surely, 2132997824 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 132997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193279268).

132997824 is an abundant number, since it is smaller than the sum of its proper divisors (253560712).

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

132997824 is a wasteful number, since it uses less digits than its factorization.

132997824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3241 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 132997824 is about 11532.4682527202. The cubic root of 132997824 is about 510.4440883945. Note that the first 3 decimals are identical.

The spelling of 132997824 in words is "one hundred thirty-two million, nine hundred ninety-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 144 146 192 219 288 292 438 576 584 657 876 1168 1314 1752 2336 2628 3163 3504 4672 5256 6326 7008 9489 10512 12652 14016 18978 21024 25304 28467 37956 42048 50608 56934 75912 101216 113868 151824 202432 227736 230899 303648 455472 461798 607296 692697 910944 923596 1385394 1821888 1847192 2078091 2770788 3694384 4156182 5541576 7388768 8312364 11083152 14777536 16624728 22166304 33249456 44332608 66498912 132997824