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130997820 = 223514914653
BaseRepresentation
bin1111100111011…
…01111000111100
3100010111101020010
413303231320330
5232013412240
620555423220
73150314562
oct763557074
9303441203
10130997820
1167a43668
1237a54b10
13211a7a05
141357da32
15b779280
hex7cede3c

130997820 has 48 divisors (see below), whose sum is σ = 369280800. Its totient is φ = 34695936.

The previous prime is 130997813. The next prime is 130997827. The reversal of 130997820 is 28799031.

It is an interprime number because it is at equal distance from previous prime (130997813) and next prime (130997827).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130997827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1614 + ... + 16266.

It is an arithmetic number, because the mean of its divisors is an integer number (7693350).

Almost surely, 2130997820 is an apocalyptic number.

130997820 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 130997820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184640400).

130997820 is an abundant number, since it is smaller than the sum of its proper divisors (238282980).

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

130997820 is a wasteful number, since it uses less digits than its factorization.

130997820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14814 (or 14812 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 130997820 is about 11445.4279081212. The cubic root of 130997820 is about 507.8724905758.

The spelling of 130997820 in words is "one hundred thirty million, nine hundred ninety-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 4470 8940 14653 29306 43959 58612 73265 87918 146530 175836 219795 293060 439590 879180 2183297 4366594 6549891 8733188 10916485 13099782 21832970 26199564 32749455 43665940 65498910 130997820