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132073312 = 2572392467
BaseRepresentation
bin1111101111101…
…00011101100000
3100012112000112011
413313310131200
5232302321222
621034442304
73162414250
oct767643540
9305460464
10132073312
11686086a8
1238293394
13214933b7
141377d960
15b8dcc77
hex7df4760

132073312 has 48 divisors (see below), whose sum is σ = 298529280. Its totient is φ = 56343168.

The previous prime is 132073301. The next prime is 132073321. The reversal of 132073312 is 213370231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52303 + ... + 54769.

It is an arithmetic number, because the mean of its divisors is an integer number (6219360).

Almost surely, 2132073312 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 132073312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149264640).

132073312 is an abundant number, since it is smaller than the sum of its proper divisors (166455968).

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

132073312 is a wasteful number, since it uses less digits than its factorization.

132073312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 132073312 is about 11492.3153454820. The cubic root of 132073312 is about 509.2585817827.

The spelling of 132073312 in words is "one hundred thirty-two million, seventy-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 239 478 956 1673 1912 2467 3346 3824 4934 6692 7648 9868 13384 17269 19736 26768 34538 39472 53536 69076 78944 138152 276304 552608 589613 1179226 2358452 4127291 4716904 8254582 9433808 16509164 18867616 33018328 66036656 132073312