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132826232 = 23711713037
BaseRepresentation
bin1111110101011…
…00010001111000
3100020221021100002
413322230101320
5233000414412
621102532132
73202001330
oct772542170
9306837302
10132826232
1168a82350
1238597048
1321698006
14138d80c0
15b9dadc2
hex7eac478

132826232 has 64 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 51004800.

The previous prime is 132826217. The next prime is 132826241. The reversal of 132826232 is 232628231.

It is a junction number, because it is equal to n+sod(n) for n = 132826195 and 132826204.

It is a congruent number.

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, 42218 + ... + 45254.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2132826232 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 132826232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

132826232 is an abundant number, since it is smaller than the sum of its proper divisors (182153608).

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

132826232 is a wasteful number, since it uses less digits than its factorization.

132826232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3128 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 132826232 is about 11525.0263340263. The cubic root of 132826232 is about 510.2244712240.

The spelling of 132826232 in words is "one hundred thirty-two million, eight hundred twenty-six thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 71 77 88 142 154 284 308 497 568 616 781 994 1562 1988 3037 3124 3976 5467 6074 6248 10934 12148 21259 21868 24296 33407 42518 43736 66814 85036 133628 170072 215627 233849 267256 431254 467698 862508 935396 1509389 1725016 1870792 2371897 3018778 4743794 6037556 9487588 12075112 16603279 18975176 33206558 66413116 132826232