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132921680 = 24512892
BaseRepresentation
bin1111110110000…
…11100101010000
3100021010010021012
413323003211100
5233011443210
621104550052
73202546523
oct773034520
9307103235
10132921680
1169038031
1238622328
13216cc5a8
1413920bba
15ba09305
hex7ec3950

132921680 has 30 divisors (see below), whose sum is σ = 309282846. Its totient is φ = 53127424.

The previous prime is 132921671. The next prime is 132921683. The reversal of 132921680 is 86129231.

It can be written as a sum of positive squares in 3 ways, for example, as 49674304 + 83247376 = 7048^2 + 9124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132921683) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102476 + ... + 103764.

Almost surely, 2132921680 is an apocalyptic number.

132921680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132921680 is an abundant number, since it is smaller than the sum of its proper divisors (176361166).

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

132921680 is an frugal number, since it uses more digits than its factorization.

132921680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 132921680 is about 11529.1664919889. The cubic root of 132921680 is about 510.3466565386.

The spelling of 132921680 in words is "one hundred thirty-two million, nine hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1289 2578 5156 6445 10312 12890 20624 25780 51560 103120 1661521 3323042 6646084 8307605 13292168 16615210 26584336 33230420 66460840 132921680