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132130032 = 24323294127
BaseRepresentation
bin1111110000000…
…10010011110000
3100012121220022220
413320002103300
5232311130112
621040001040
73163041516
oct770022360
9305556286
10132130032
1168647281
1238300180
13214b3168
14137964b6
15b8ee98c
hex7e024f0

132130032 has 80 divisors (see below), whose sum is σ = 368547840. Its totient is φ = 40665856.

The previous prime is 132130027. The next prime is 132130039. The reversal of 132130032 is 230031231.

It is a junction number, because it is equal to n+sod(n) for n = 132129993 and 132130020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132130039) 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, 29953 + ... + 34079.

It is an arithmetic number, because the mean of its divisors is an integer number (4606848).

Almost surely, 2132130032 is an apocalyptic number.

132130032 is a gapful number since it is divisible by the number (12) 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 132130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184273920).

132130032 is an abundant number, since it is smaller than the sum of its proper divisors (236417808).

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

132130032 is a wasteful number, since it uses less digits than its factorization.

132130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 132130032 is about 11494.7828165651. The cubic root of 132130032 is about 509.3314731497.

Adding to 132130032 its reverse (230031231), we get a palindrome (362161263).

The spelling of 132130032 in words is "one hundred thirty-two million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 92 116 138 174 184 232 276 348 368 464 552 667 696 1104 1334 1392 2001 2668 4002 4127 5336 8004 8254 10672 12381 16008 16508 24762 32016 33016 49524 66032 94921 99048 119683 189842 198096 239366 284763 359049 379684 478732 569526 718098 759368 957464 1139052 1436196 1518736 1914928 2278104 2752709 2872392 4556208 5505418 5744784 8258127 11010836 16516254 22021672 33032508 44043344 66065016 132130032