Search a number
-
+
132022638 = 232111913491
BaseRepresentation
bin1111101111010…
…00000101101110
3100012102110000100
413313220011232
5232244211023
621033411530
73162113436
oct767500556
9305373010
10132022638
1168583620
1238269ba6
1321476307
14137692c6
15b8ccc43
hex7de816e

132022638 has 48 divisors (see below), whose sum is σ = 313777152. Its totient is φ = 39786000.

The previous prime is 132022607. The next prime is 132022651. The reversal of 132022638 is 836220231.

132022638 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 22 + 638 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36073 + ... + 39563.

It is an arithmetic number, because the mean of its divisors is an integer number (6537024).

Almost surely, 2132022638 is an apocalyptic number.

132022638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132022638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156888576).

132022638 is an abundant number, since it is smaller than the sum of its proper divisors (181754514).

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

132022638 is a wasteful number, since it uses less digits than its factorization.

132022638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 132022638 is about 11490.1104433334. The cubic root of 132022638 is about 509.1934425301.

Adding to 132022638 its reverse (836220231), we get a palindrome (968242869).

The spelling of 132022638 in words is "one hundred thirty-two million, twenty-two thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 191 198 382 573 1146 1719 2101 3438 3491 4202 6303 6982 10473 12606 18909 20946 31419 37818 38401 62838 76802 115203 230406 345609 666781 691218 1333562 2000343 4000686 6001029 7334591 12002058 14669182 22003773 44007546 66011319 132022638