Search a number
-
+
132564540 = 22352209409
BaseRepresentation
bin1111110011011…
…00011000111100
3100020102222100210
413321230120330
5232414031130
621053152420
73166531353
oct771543074
9306388323
10132564540
1168913779
123848b710
1321605b74
141386a99a
15b9885b0
hex7e6c63c

132564540 has 24 divisors (see below), whose sum is σ = 371180880. Its totient is φ = 35350528.

The previous prime is 132564527. The next prime is 132564541. The reversal of 132564540 is 45465231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132564498 and 132564507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132564541) 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, 1104645 + ... + 1104764.

It is an arithmetic number, because the mean of its divisors is an integer number (15465870).

Almost surely, 2132564540 is an apocalyptic number.

132564540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132564540 is an abundant number, since it is smaller than the sum of its proper divisors (238616340).

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

132564540 is a wasteful number, since it uses less digits than its factorization.

132564540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209421 (or 2209419 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 132564540 is about 11513.6675303745. The cubic root of 132564540 is about 509.8891723808.

The spelling of 132564540 in words is "one hundred thirty-two million, five hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2209409 4418818 6628227 8837636 11047045 13256454 22094090 26512908 33141135 44188180 66282270 132564540