Search a number
-
+
132310820 = 2256615541
BaseRepresentation
bin1111110001011…
…10011100100100
3100012222002022202
413320232130210
5232332421240
621043514032
73164423555
oct770563444
9305862282
10132310820
1168760094
1238388918
1321547535
141380232c
15b938315
hex7e2e724

132310820 has 12 divisors (see below), whose sum is σ = 277852764. Its totient is φ = 52924320.

The previous prime is 132310807. The next prime is 132310823. The reversal of 132310820 is 28013231.

It can be written as a sum of positive squares in 2 ways, for example, as 82156096 + 50154724 = 9064^2 + 7082^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 6615541 = 132310820 / (1 + 3 + 2 + 3 + 1 + 0 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 132310792 and 132310801.

It is not an unprimeable number, because it can be changed into a prime (132310823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3307751 + ... + 3307790.

It is an arithmetic number, because the mean of its divisors is an integer number (23154397).

Almost surely, 2132310820 is an apocalyptic number.

132310820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132310820 is an abundant number, since it is smaller than the sum of its proper divisors (145541944).

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

132310820 is a wasteful number, since it uses less digits than its factorization.

132310820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615550 (or 6615548 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 132310820 is about 11502.6440438710. The cubic root of 132310820 is about 509.5636662704.

The spelling of 132310820 in words is "one hundred thirty-two million, three hundred ten thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 6615541 13231082 26462164 33077705 66155410 132310820