Search a number
-
+
132638540 = 2259536959
BaseRepresentation
bin1111110011111…
…10011101001100
3100020120201212112
413321332131030
5232423413130
621054523152
73200260166
oct771763514
9306521775
10132638540
1168964331
12385064b8
1321630758
1413889936
15b9a0495
hex7e7e74c

132638540 has 24 divisors (see below), whose sum is σ = 278873280. Its totient is φ = 52992128.

The previous prime is 132638537. The next prime is 132638543. The reversal of 132638540 is 45836231.

132638540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132638537) and next prime (132638543).

It is a junction number, because it is equal to n+sod(n) for n = 132638497 and 132638506.

It is not an unprimeable number, because it can be changed into a prime (132638543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15581 + ... + 22539.

It is an arithmetic number, because the mean of its divisors is an integer number (11619720).

Almost surely, 2132638540 is an apocalyptic number.

132638540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132638540 is an abundant number, since it is smaller than the sum of its proper divisors (146234740).

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

132638540 is a wasteful number, since it uses less digits than its factorization.

132638540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7921 (or 7919 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 132638540 is about 11516.8806540660. The cubic root of 132638540 is about 509.9840312827.

The spelling of 132638540 in words is "one hundred thirty-two million, six hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 953 1906 3812 4765 6959 9530 13918 19060 27836 34795 69590 139180 6631927 13263854 26527708 33159635 66319270 132638540