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132013760 = 265616763
BaseRepresentation
bin1111101111001…
…01111011000000
3100012101222211112
413313211323000
5232243420020
621033302452
73162045524
oct767457300
9305358745
10132013760
116857798a
1238264a28
1321472268
1413765d84
15b8ca2c5
hex7de5ec0

132013760 has 56 divisors (see below), whose sum is σ = 319558416. Its totient is φ = 51932160.

The previous prime is 132013759. The next prime is 132013781. The reversal of 132013760 is 67310231.

It is a happy 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, 16139 + ... + 22901.

Almost surely, 2132013760 is an apocalyptic number.

132013760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159779208).

132013760 is an abundant number, since it is smaller than the sum of its proper divisors (187544656).

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

132013760 is an equidigital number, since it uses as much as digits as its factorization.

132013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6841 (or 6831 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 132013760 is about 11489.7241046076. The cubic root of 132013760 is about 509.1820285262.

Adding to 132013760 its reverse (67310231), we get a palindrome (199323991).

It can be divided in two parts, 13201 and 3760, that added together give a palindrome (16961).

The spelling of 132013760 in words is "one hundred thirty-two million, thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 6763 9760 13526 19520 27052 33815 54104 67630 108208 135260 216416 270520 412543 432832 541040 825086 1082080 1650172 2062715 2164160 3300344 4125430 6600688 8250860 13201376 16501720 26402752 33003440 66006880 132013760