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132166672 = 24112772711
BaseRepresentation
bin1111110000010…
…11010000010000
3100012200202120221
413320023100100
5232313313142
621040442424
73163253401
oct770132020
9305622527
10132166672
1168671860
1238319414
13214c6a41
14137a59a8
15b90a767
hex7e0b410

132166672 has 40 divisors (see below), whose sum is σ = 280464192. Its totient is φ = 59836800.

The previous prime is 132166651. The next prime is 132166673. The reversal of 132166672 is 276661231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132166673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47397 + ... + 50107.

Almost surely, 2132166672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132166672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140232096).

132166672 is an abundant number, since it is smaller than the sum of its proper divisors (148297520).

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

132166672 is a wasteful number, since it uses less digits than its factorization.

132166672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 3001 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 132166672 is about 11496.3764726108. The cubic root of 132166672 is about 509.3785484440.

The spelling of 132166672 in words is "one hundred thirty-two million, one hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 277 554 1108 2216 2711 3047 4432 5422 6094 10844 12188 21688 24376 29821 43376 48752 59642 119284 238568 477136 750947 1501894 3003788 6007576 8260417 12015152 16520834 33041668 66083336 132166672