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132652716 = 223713711527
BaseRepresentation
bin1111110100000…
…01111010101100
3100020121110022120
413322001322230
5232424341331
621055112540
73200346420
oct772017254
9306543276
10132652716
1168973a49
1238512750
1321637041
1413890b80
15b9a4796
hex7e81eac

132652716 has 48 divisors (see below), whose sum is σ = 356353536. Its totient is φ = 37620864.

The previous prime is 132652711. The next prime is 132652727. The reversal of 132652716 is 617256231.

It is not an unprimeable number, because it can be changed into a prime (132652711) 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, 5745 + ... + 17271.

It is an arithmetic number, because the mean of its divisors is an integer number (7424032).

Almost surely, 2132652716 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 132652716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178176768).

132652716 is an abundant number, since it is smaller than the sum of its proper divisors (223700820).

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

132652716 is a wasteful number, since it uses less digits than its factorization.

132652716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11678 (or 11676 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 132652716 is about 11517.4960820484. The cubic root of 132652716 is about 510.0021991447.

The spelling of 132652716 in words is "one hundred thirty-two million, six hundred fifty-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 959 1644 1918 2877 3836 5754 11508 11527 23054 34581 46108 69162 80689 138324 161378 242067 322756 484134 968268 1579199 3158398 4737597 6316796 9475194 11054393 18950388 22108786 33163179 44217572 66326358 132652716