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132128016 = 2432752667
BaseRepresentation
bin1111110000000…
…01110100010000
3100012121210120020
413320001310100
5232311044031
621035543440
73163032606
oct770016420
9305553506
10132128016
1168645809
12382bab80
13214b2277
1413795876
15b8ee096
hex7e01d10

132128016 has 20 divisors (see below), whose sum is σ = 341330832. Its totient is φ = 44042656.

The previous prime is 132127997. The next prime is 132128021. The reversal of 132128016 is 610821231.

It is a super-2 number, since 2×1321280162 = 34915625224192512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1376286 + ... + 1376381.

Almost surely, 2132128016 is an apocalyptic number.

132128016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132128016 is an abundant number, since it is smaller than the sum of its proper divisors (209202816).

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

132128016 is a wasteful number, since it uses less digits than its factorization.

132128016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752678 (or 2752672 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 132128016 is about 11494.6951242736. The cubic root of 132128016 is about 509.3288827281.

Adding to 132128016 its reverse (610821231), we get a palindrome (742949247).

The spelling of 132128016 in words is "one hundred thirty-two million, one hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 2752667 5505334 8258001 11010668 16516002 22021336 33032004 44042672 66064008 132128016