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130337620 = 22572413863
BaseRepresentation
bin1111100010011…
…00101101010100
3100002020211121021
413301030231110
5231331300440
620533330524
73141565030
oct761145524
9302224537
10130337620
1167632646
1237796a44
132100636a
141344b1c0
15b69884a
hex7c4cb54

130337620 has 48 divisors (see below), whose sum is σ = 314189568. Its totient is φ = 44490240.

The previous prime is 130337593. The next prime is 130337621. The reversal of 130337620 is 26733031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130337621) 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, 31809 + ... + 35671.

It is an arithmetic number, because the mean of its divisors is an integer number (6545616).

Almost surely, 2130337620 is an apocalyptic number.

130337620 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 130337620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157094784).

130337620 is an abundant number, since it is smaller than the sum of its proper divisors (183851948).

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

130337620 is a wasteful number, since it uses less digits than its factorization.

130337620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 130337620 is about 11416.5502670465. The cubic root of 130337620 is about 507.0178649655.

The spelling of 130337620 in words is "one hundred thirty million, three hundred thirty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 241 482 964 1205 1687 2410 3374 3863 4820 6748 7726 8435 15452 16870 19315 27041 33740 38630 54082 77260 108164 135205 270410 540820 930983 1861966 3723932 4654915 6516881 9309830 13033762 18619660 26067524 32584405 65168810 130337620