Search a number
-
+
130176820 = 22517382873
BaseRepresentation
bin1111100001001…
…01011100110100
3100001221200000201
413300211130310
5231311124240
620530050244
73140325154
oct760453464
9301850021
10130176820
1167532854
1237719984
1320c7b107
1413408764
15b665d9a
hex7c25734

130176820 has 24 divisors (see below), whose sum is σ = 289452744. Its totient is φ = 49007616.

The previous prime is 130176817. The next prime is 130176821. The reversal of 130176820 is 28671031.

It can be written as a sum of positive squares in 4 ways, for example, as 1036324 + 129140496 = 1018^2 + 11364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130176821) 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, 191097 + ... + 191776.

It is an arithmetic number, because the mean of its divisors is an integer number (12060531).

Almost surely, 2130176820 is an apocalyptic number.

130176820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130176820 is an abundant number, since it is smaller than the sum of its proper divisors (159275924).

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

130176820 is a wasteful number, since it uses less digits than its factorization.

130176820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382899 (or 382897 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 130176820 is about 11409.5056860497. The cubic root of 130176820 is about 506.8092733007.

The spelling of 130176820 in words is "one hundred thirty million, one hundred seventy-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 382873 765746 1531492 1914365 3828730 6508841 7657460 13017682 26035364 32544205 65088410 130176820