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132112036 = 22728212
BaseRepresentation
bin1111101111111…
…01111010100100
3100012120222122101
413313331322210
5232310041121
621035341444
73162635200
oct767757244
9305528571
10132112036
1168634801
12382b1884
13214a7c04
141378db00
15b8e9491
hex7dfdea4

132112036 has 27 divisors (see below), whose sum is σ = 269270337. Its totient is φ = 56550480.

The previous prime is 132112021. The next prime is 132112061. The reversal of 132112036 is 630211231.

The square root of 132112036 is 11494.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36072036 + 96040000 = 6006^2 + 9800^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 160506 + ... + 161326.

Almost surely, 2132112036 is an apocalyptic number.

132112036 is the 11494-th square number.

It is an amenable number.

132112036 is an abundant number, since it is smaller than the sum of its proper divisors (137158301).

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

132112036 is an frugal number, since it uses more digits than its factorization.

132112036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The cubic root of 132112036 is about 509.3083485927.

Adding to 132112036 its reverse (630211231), we get a palindrome (762323267).

The spelling of 132112036 in words is "one hundred thirty-two million, one hundred twelve thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 821 1642 3284 5747 11494 22988 40229 80458 160916 674041 1348082 2696164 4718287 9436574 18873148 33028009 66056018 132112036