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132960465 = 32511268607
BaseRepresentation
bin1111110110011…
…01000011010001
3100021012002110200
413323031003101
5233014213330
621105445413
73203100561
oct773150321
9307162420
10132960465
1169064190
1238640869
1321714141
1413930da1
15ba15a60
hex7ecd0d1

132960465 has 24 divisors (see below), whose sum is σ = 251417088. Its totient is φ = 64465440.

The previous prime is 132960463. The next prime is 132960469. The reversal of 132960465 is 564069231.

It is a happy number.

132960465 is a `hidden beast` number, since 132 + 9 + 60 + 465 = 666.

It is not a de Polignac number, because 132960465 - 21 = 132960463 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132960463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133809 + ... + 134798.

It is an arithmetic number, because the mean of its divisors is an integer number (10475712).

Almost surely, 2132960465 is an apocalyptic number.

132960465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132960465 is a deficient number, since it is larger than the sum of its proper divisors (118456623).

132960465 is a wasteful number, since it uses less digits than its factorization.

132960465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268629 (or 268626 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 132960465 is about 11530.8484076411. The cubic root of 132960465 is about 510.3962894507.

The spelling of 132960465 in words is "one hundred thirty-two million, nine hundred sixty thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 268607 805821 1343035 2417463 2954677 4029105 8864031 12087315 14773385 26592093 44320155 132960465