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130253120 = 265596899
BaseRepresentation
bin1111100001110…
…00000101000000
3100002002112200122
413300320011000
5231321044440
620531435412
73141063464
oct760700500
9302075618
10130253120
1167585108
1237755b68
1320ca6a6a
14134284a4
15b67d7b5
hex7c38140

130253120 has 56 divisors (see below), whose sum is σ = 315468000. Its totient is φ = 51210752.

The previous prime is 130253119. The next prime is 130253129. The reversal of 130253120 is 21352031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130253129) 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, 15431 + ... + 22329.

Almost surely, 2130253120 is an apocalyptic number.

130253120 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 130253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157734000).

130253120 is an abundant number, since it is smaller than the sum of its proper divisors (185214880).

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

130253120 is an equidigital number, since it uses as much as digits as its factorization.

130253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6975 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 130253120 is about 11412.8488993765. The cubic root of 130253120 is about 506.9082719676.

The spelling of 130253120 in words is "one hundred thirty million, two hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 236 295 320 472 590 944 1180 1888 2360 3776 4720 6899 9440 13798 18880 27596 34495 55192 68990 110384 137980 220768 275960 407041 441536 551920 814082 1103840 1628164 2035205 2207680 3256328 4070410 6512656 8140820 13025312 16281640 26050624 32563280 65126560 130253120