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132658640 = 2451658233
BaseRepresentation
bin1111110100000…
…11010111010000
3100020121202102222
413322003113100
5232430034030
621055200212
73200402612
oct772032720
9306552388
10132658640
1168978444
1238516068
132163994a
1413892db2
15b9a63e5
hex7e835d0

132658640 has 20 divisors (see below), whose sum is σ = 308431524. Its totient is φ = 53063424.

The previous prime is 132658637. The next prime is 132658661. The reversal of 132658640 is 46856231.

It can be written as a sum of positive squares in 2 ways, for example, as 43771456 + 88887184 = 6616^2 + 9428^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 132658640.

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, 829037 + ... + 829196.

Almost surely, 2132658640 is an apocalyptic number.

132658640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132658640 is an abundant number, since it is smaller than the sum of its proper divisors (175772884).

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

132658640 is a wasteful number, since it uses less digits than its factorization.

132658640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658246 (or 1658240 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 132658640 is about 11517.7532531306. The cubic root of 132658640 is about 510.0097909180.

The spelling of 132658640 in words is "one hundred thirty-two million, six hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1658233 3316466 6632932 8291165 13265864 16582330 26531728 33164660 66329320 132658640