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132346880 = 210525849
BaseRepresentation
bin1111110001101…
…11010000000000
3100020000220210022
413320313100000
5232340100010
621044353012
73164633651
oct770672000
9306026708
10132346880
1168785196
12383a5768
132155aa83
1413811528
15b943d55
hex7e37400

132346880 has 44 divisors (see below), whose sum is σ = 317489700. Its totient is φ = 52936704.

The previous prime is 132346873. The next prime is 132346901. The reversal of 132346880 is 88643231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18113536 + 114233344 = 4256^2 + 10688^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 132346880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7805 + ... + 18044.

It is an arithmetic number, because the mean of its divisors is an integer number (7215675).

Almost surely, 2132346880 is an apocalyptic number.

132346880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132346880 is an abundant number, since it is smaller than the sum of its proper divisors (185142820).

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

132346880 is an equidigital number, since it uses as much as digits as its factorization.

132346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25874 (or 25856 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 132346880 is about 11504.2114027864. The cubic root of 132346880 is about 509.6099542378.

The spelling of 132346880 in words is "one hundred thirty-two million, three hundred forty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 25849 51698 103396 129245 206792 258490 413584 516980 827168 1033960 1654336 2067920 3308672 4135840 6617344 8271680 13234688 16543360 26469376 33086720 66173440 132346880