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132020112 = 2437256131
BaseRepresentation
bin1111101111001…
…11011110010000
3100012102022112210
413313213132100
5232244120422
621033352120
73162103200
oct767473620
9305368483
10132020112
1168581734
1238268640
1321475113
1413768400
15b8cc10c
hex7de7790

132020112 has 60 divisors (see below), whose sum is σ = 396740976. Its totient is φ = 37719360.

The previous prime is 132020081. The next prime is 132020137. The reversal of 132020112 is 211020231.

132020112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 11 ways as a sum of consecutive naturals, for example, 25714 + ... + 30417.

Almost surely, 2132020112 is an apocalyptic number.

132020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132020112 is an abundant number, since it is smaller than the sum of its proper divisors (264720864).

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

132020112 is a wasteful number, since it uses less digits than its factorization.

132020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56156 (or 56143 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 132020112 is about 11490.0005221932. Note that the first 3 decimals coincide. The cubic root of 132020112 is about 509.1901950293.

Subtracting from 132020112 its sum of digits (12), we obtain a square (132020100 = 114902).

Adding to 132020112 its reverse (211020231), we get a palindrome (343040343).

The spelling of 132020112 in words is "one hundred thirty-two million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 56131 112262 168393 224524 336786 392917 449048 673572 785834 898096 1178751 1347144 1571668 2357502 2694288 2750419 3143336 4715004 5500838 6286672 8251257 9430008 11001676 16502514 18860016 22003352 33005028 44006704 66010056 132020112