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132120405 = 32522912821
BaseRepresentation
bin1111101111111…
…11111101010101
3100012121102010100
413313333331111
5232310323110
621035444313
73163001454
oct767777525
9305542110
10132120405
116864001a
12382b6699
13214ab971
1413792b9b
15b8ebbc0
hex7dfff55

132120405 has 24 divisors (see below), whose sum is σ = 230026680. Its totient is φ = 70151040.

The previous prime is 132120397. The next prime is 132120427. The reversal of 132120405 is 504021231.

It can be written as a sum of positive squares in 4 ways, for example, as 12152196 + 119968209 = 3486^2 + 10953^2 .

It is not a de Polignac number, because 132120405 - 23 = 132120397 is a prime.

It is a Curzon number.

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, 3895 + ... + 16715.

It is an arithmetic number, because the mean of its divisors is an integer number (9584445).

Almost surely, 2132120405 is an apocalyptic number.

132120405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132120405 is a deficient number, since it is larger than the sum of its proper divisors (97906275).

132120405 is a wasteful number, since it uses less digits than its factorization.

132120405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13061 (or 13058 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132120405 is about 11494.3640537439. The cubic root of 132120405 is about 509.3191028780.

Adding to 132120405 its reverse (504021231), we get a palindrome (636141636).

The spelling of 132120405 in words is "one hundred thirty-two million, one hundred twenty thousand, four hundred five".

Divisors: 1 3 5 9 15 45 229 687 1145 2061 3435 10305 12821 38463 64105 115389 192315 576945 2936009 8808027 14680045 26424081 44040135 132120405