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132682728 = 233311391283
BaseRepresentation
bin1111110100010…
…01001111101000
3100020122222111010
413322021033220
5232431321403
621055503520
73200533053
oct772111750
9306588433
10132682728
1168994552
1238527ba0
13216478b9
141389ba9a
15b9ad603
hex7e893e8

132682728 has 64 divisors (see below), whose sum is σ = 345139200. Its totient is φ = 42459840.

The previous prime is 132682727. The next prime is 132682733. The reversal of 132682728 is 827286231.

132682728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132682727) 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, 102775 + ... + 104057.

It is an arithmetic number, because the mean of its divisors is an integer number (5392800).

Almost surely, 2132682728 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 132682728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172569600).

132682728 is an abundant number, since it is smaller than the sum of its proper divisors (212456472).

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

132682728 is a wasteful number, since it uses less digits than its factorization.

132682728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1458 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 132682728 is about 11518.7988957183. The cubic root of 132682728 is about 510.0406580427.

The spelling of 132682728 in words is "one hundred thirty-two million, six hundred eighty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 139 186 248 278 372 417 556 744 834 1112 1283 1668 2566 3336 3849 4309 5132 7698 8618 10264 12927 15396 17236 25854 30792 34472 39773 51708 79546 103416 119319 159092 178337 238638 318184 356674 477276 535011 713348 954552 1070022 1426696 2140044 4280088 5528447 11056894 16585341 22113788 33170682 44227576 66341364 132682728