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132616040 = 2353315401
BaseRepresentation
bin1111110011110…
…00111101101000
3100020112121000012
413321320331220
5232422203130
621054231052
73200134454
oct771707550
9306477005
10132616040
1168949437
12384b5488
132162343b
1413881664
15b998995
hex7e78f68

132616040 has 16 divisors (see below), whose sum is σ = 298386180. Its totient is φ = 53046400.

The previous prime is 132616039. The next prime is 132616063. The reversal of 132616040 is 40616231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 118940836 + 13675204 = 10906^2 + 3698^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132615997 and 132616015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1657661 + ... + 1657740.

Almost surely, 2132616040 is an apocalyptic number.

132616040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132616040 is an abundant number, since it is smaller than the sum of its proper divisors (165770140).

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

132616040 is a wasteful number, since it uses less digits than its factorization.

132616040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315412 (or 3315408 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 132616040 is about 11515.9037856349. The cubic root of 132616040 is about 509.9551927827.

The spelling of 132616040 in words is "one hundred thirty-two million, six hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3315401 6630802 13261604 16577005 26523208 33154010 66308020 132616040