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132874020 = 2234582021
BaseRepresentation
bin1111110101101…
…11111100100100
3100021000200220000
413322313330210
5233003432040
621103541300
73202260546
oct772677444
9307020800
10132874020
1169005244
12385ba830
13216b39a6
141390b696
15b9ea130
hex7eb7f24

132874020 has 60 divisors (see below), whose sum is σ = 416835804. Its totient is φ = 35432640.

The previous prime is 132874019. The next prime is 132874061. The reversal of 132874020 is 20478231.

It can be written as a sum of positive squares in 2 ways, for example, as 100520676 + 32353344 = 10026^2 + 5688^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39391 + ... + 42630.

Almost surely, 2132874020 is an apocalyptic number.

132874020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132874020 is an abundant number, since it is smaller than the sum of its proper divisors (283961784).

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

132874020 is a wasteful number, since it uses less digits than its factorization.

132874020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82042 (or 82031 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 132874020 is about 11527.0993749512. The cubic root of 132874020 is about 510.2856531234.

The spelling of 132874020 in words is "one hundred thirty-two million, eight hundred seventy-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 82021 164042 246063 328084 410105 492126 738189 820210 984252 1230315 1476378 1640420 2214567 2460630 2952756 3690945 4429134 4921260 6643701 7381890 8858268 11072835 13287402 14763780 22145670 26574804 33218505 44291340 66437010 132874020