Search a number
-
+
132111232 = 2711101929
BaseRepresentation
bin1111101111111…
…01101110000000
3100012120221112121
413313331232000
5232310024412
621035334024
73162632641
oct767755600
9305527477
10132111232
1168634140
12382b1314
13214a7736
141378d6c8
15b8e9107
hex7dfdb80

132111232 has 64 divisors (see below), whose sum is σ = 290271600. Its totient is φ = 59392000.

The previous prime is 132111229. The next prime is 132111251. The reversal of 132111232 is 232111231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 141744 + ... + 142672.

Almost surely, 2132111232 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 132111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145135800).

132111232 is an abundant number, since it is smaller than the sum of its proper divisors (158160368).

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

132111232 is a wasteful number, since it uses less digits than its factorization.

132111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1043 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 132111232 is about 11493.9650251773. The cubic root of 132111232 is about 509.3073154173.

Adding to 132111232 its reverse (232111231), we get a palindrome (364222463).

Subtracting 132111232 from its reverse (232111231), we obtain a palindrome (99999999).

The spelling of 132111232 in words is "one hundred thirty-two million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 202 352 404 704 808 929 1111 1408 1616 1858 2222 3232 3716 4444 6464 7432 8888 10219 12928 14864 17776 20438 29728 35552 40876 59456 71104 81752 93829 118912 142208 163504 187658 327008 375316 654016 750632 1032119 1308032 1501264 2064238 3002528 4128476 6005056 8256952 12010112 16513904 33027808 66055616 132111232