Search a number
-
+
132705860 = 22572341213
BaseRepresentation
bin1111110100011…
…10111001000100
3100020201011012212
413322032321010
5232433041420
621100202552
73200660360
oct772167104
9306634185
10132705860
11689aa971
1238539458
13216552a1
14138a62a0
15b9b53c5
hex7e8ee44

132705860 has 48 divisors (see below), whose sum is σ = 332349696. Its totient is φ = 43519872.

The previous prime is 132705851. The next prime is 132705871. The reversal of 132705860 is 68507231.

It is a happy number.

It is a super-2 number, since 2×1327058602 = 35221690556679200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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, 17387 + ... + 23826.

It is an arithmetic number, because the mean of its divisors is an integer number (6923952).

Almost surely, 2132705860 is an apocalyptic number.

132705860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132705860 is an abundant number, since it is smaller than the sum of its proper divisors (199643836).

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

132705860 is a wasteful number, since it uses less digits than its factorization.

132705860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41252 (or 41250 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 132705860 is about 11519.8029497036. The cubic root of 132705860 is about 510.0702966026.

The spelling of 132705860 in words is "one hundred thirty-two million, seven hundred five thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 41213 82426 164852 206065 288491 412130 576982 824260 947899 1153964 1442455 1895798 2884910 3791596 4739495 5769820 6635293 9478990 13270586 18957980 26541172 33176465 66352930 132705860