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132074496 = 2103317281
BaseRepresentation
bin1111101111101…
…00110000000000
3100012112002011000
413313310300000
5232302340441
621034452000
73162420561
oct767646000
9305462130
10132074496
1168609584
1238294000
1321493ab8
1413780168
15b8dd2b6
hex7df4c00

132074496 has 176 divisors, whose sum is σ = 415622880. Its totient is φ = 41287680.

The previous prime is 132074483. The next prime is 132074549. The reversal of 132074496 is 694470231.

132074496 is a `hidden beast` number, since 1 + 3 + 207 + 449 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132074496.

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 15 ways as a sum of consecutive naturals, for example, 469876 + ... + 470156.

Almost surely, 2132074496 is an apocalyptic number.

132074496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132074496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207811440).

132074496 is an abundant number, since it is smaller than the sum of its proper divisors (283548384).

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

132074496 is a wasteful number, since it uses less digits than its factorization.

132074496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 132074496 is about 11492.3668580497. The cubic root of 132074496 is about 509.2601035647.

The spelling of 132074496 in words is "one hundred thirty-two million, seventy-four thousand, four hundred ninety-six".