Search a number
-
+
130999680 = 273457192
BaseRepresentation
bin1111100111011…
…10010110000000
3100010111110210000
413303232112000
5232013442210
620555440000
73150323160
oct763562600
9303443700
10130999680
1167a44aa9
1237a56000
13211a8806
14135805a0
15b779ac0
hex7cee580

130999680 has 480 divisors, whose sum is σ = 564276240. Its totient is φ = 28366848.

The previous prime is 130999667. The next prime is 130999691. The reversal of 130999680 is 86999031.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6894711 + ... + 6894729.

Almost surely, 2130999680 is an apocalyptic number.

130999680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282138120).

130999680 is an abundant number, since it is smaller than the sum of its proper divisors (433276560).

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

130999680 is an equidigital number, since it uses as much as digits as its factorization.

130999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 130999680 is about 11445.5091629862. The cubic root of 130999680 is about 507.8748942758.

The spelling of 130999680 in words is "one hundred thirty million, nine hundred ninety-nine thousand, six hundred eighty".