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132504040 = 2353312601
BaseRepresentation
bin1111110010111…
…01100111101000
3100020022220101001
413321131213220
5232410112130
621052004344
73166160104
oct771354750
9306286331
10132504040
1168882279
12384606b4
13215b4476
1413852904
15b9756ca
hex7e5d9e8

132504040 has 16 divisors (see below), whose sum is σ = 298134180. Its totient is φ = 53001600.

The previous prime is 132504023. The next prime is 132504059. The reversal of 132504040 is 40405231.

It can be written as a sum of positive squares in 2 ways, for example, as 123965956 + 8538084 = 11134^2 + 2922^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132503999 and 132504017.

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, 1656261 + ... + 1656340.

Almost surely, 2132504040 is an apocalyptic number.

132504040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132504040 is an abundant number, since it is smaller than the sum of its proper divisors (165630140).

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

132504040 is a wasteful number, since it uses less digits than its factorization.

132504040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312612 (or 3312608 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 132504040 is about 11511.0399182698. The cubic root of 132504040 is about 509.8115925871.

Adding to 132504040 its reverse (40405231), we get a palindrome (172909271).

The spelling of 132504040 in words is "one hundred thirty-two million, five hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3312601 6625202 13250404 16563005 26500808 33126010 66252020 132504040