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132359440 = 2454333821
BaseRepresentation
bin1111110001110…
…10010100010000
3100020001120000111
413320322110100
5232341000230
621044531104
73165015403
oct770722420
9306046014
10132359440
1168793674
12383b0a94
13215636c5
1413815d3a
15b94792a
hex7e3a510

132359440 has 40 divisors (see below), whose sum is σ = 308527128. Its totient is φ = 52807680.

The previous prime is 132359419. The next prime is 132359459. The reversal of 132359440 is 44953231.

It can be written as a sum of positive squares in 4 ways, for example, as 13897984 + 118461456 = 3728^2 + 10884^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1323594402 = 35038042714227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32730 + ... + 36550.

Almost surely, 2132359440 is an apocalyptic number.

132359440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132359440 is an abundant number, since it is smaller than the sum of its proper divisors (176167688).

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

132359440 is a wasteful number, since it uses less digits than its factorization.

132359440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 132359440 is about 11504.7572768833. The cubic root of 132359440 is about 509.6260747501.

The spelling of 132359440 in words is "one hundred thirty-two million, three hundred fifty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 433 866 1732 2165 3464 3821 4330 6928 7642 8660 15284 17320 19105 30568 34640 38210 61136 76420 152840 305680 1654493 3308986 6617972 8272465 13235944 16544930 26471888 33089860 66179720 132359440