Search a number
-
+
132364820 = 2257945463
BaseRepresentation
bin1111110001110…
…11101000010100
3100020001211101202
413320323220110
5232341133240
621045012032
73165040160
oct770735024
9306054352
10132364820
1168797715
12383b4018
1321565ca3
1413817ca0
15b949315
hex7e3ba14

132364820 has 24 divisors (see below), whose sum is σ = 317675904. Its totient is φ = 45382176.

The previous prime is 132364759. The next prime is 132364867. The reversal of 132364820 is 28463231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472592 + ... + 472871.

It is an arithmetic number, because the mean of its divisors is an integer number (13236496).

Almost surely, 2132364820 is an apocalyptic number.

132364820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132364820 is an abundant number, since it is smaller than the sum of its proper divisors (185311084).

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

132364820 is a wasteful number, since it uses less digits than its factorization.

132364820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945479 (or 945477 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 132364820 is about 11504.9910908266. The cubic root of 132364820 is about 509.6329795621.

The spelling of 132364820 in words is "one hundred thirty-two million, three hundred sixty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 945463 1890926 3781852 4727315 6618241 9454630 13236482 18909260 26472964 33091205 66182410 132364820