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132442112 = 211115879
BaseRepresentation
bin1111110010011…
…10100000000000
3100020012202102102
413321032200000
5232401121422
621050405532
73165511415
oct771164000
9306182372
10132442112
116883a7a0
12384308a8
132159221a
141383810c
15b962192
hex7e4e800

132442112 has 48 divisors (see below), whose sum is σ = 288943200. Its totient is φ = 60190720.

The previous prime is 132442111. The next prime is 132442127. The reversal of 132442112 is 211244231.

It is not an unprimeable number, because it can be changed into a prime (132442111) 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 3 ways as a sum of consecutive naturals, for example, 19589 + ... + 25467.

It is an arithmetic number, because the mean of its divisors is an integer number (6019650).

Almost surely, 2132442112 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 132442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144471600).

132442112 is an abundant number, since it is smaller than the sum of its proper divisors (156501088).

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

132442112 is an equidigital number, since it uses as much as digits as its factorization.

132442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5892 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 132442112 is about 11508.3496644827. The cubic root of 132442112 is about 509.7321571926.

Adding to 132442112 its reverse (211244231), we get a palindrome (343686343).

It can be divided in two parts, 132 and 442112, that added together give a palindrome (442244).

The spelling of 132442112 in words is "one hundred thirty-two million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 5632 5879 11264 11758 22528 23516 47032 64669 94064 129338 188128 258676 376256 517352 752512 1034704 1505024 2069408 3010048 4138816 6020096 8277632 12040192 16555264 33110528 66221056 132442112