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130309120 = 210531821
BaseRepresentation
bin1111100010001…
…01110000000000
3100002012101111201
413301011300000
5231324342440
620532550544
73141415654
oct761056000
9302171451
10130309120
1167613197
1237782454
1320cc63b6
1413440a64
15b69019a
hex7c45c00

130309120 has 88 divisors (see below), whose sum is σ = 323065728. Its totient is φ = 50380800.

The previous prime is 130309117. The next prime is 130309141. The reversal of 130309120 is 21903031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158310 + ... + 159130.

Almost surely, 2130309120 is an apocalyptic number.

130309120 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 130309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161532864).

130309120 is an abundant number, since it is smaller than the sum of its proper divisors (192756608).

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

130309120 is an equidigital number, since it uses as much as digits as its factorization.

130309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 130309120 is about 11415.3020108975. The cubic root of 130309120 is about 506.9809069419.

The spelling of 130309120 in words is "one hundred thirty million, three hundred nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 512 620 640 821 992 1024 1240 1280 1642 1984 2480 2560 3284 3968 4105 4960 5120 6568 7936 8210 9920 13136 15872 16420 19840 25451 26272 31744 32840 39680 50902 52544 65680 79360 101804 105088 127255 131360 158720 203608 210176 254510 262720 407216 420352 509020 525440 814432 840704 1018040 1050880 1628864 2036080 2101760 3257728 4072160 4203520 6515456 8144320 13030912 16288640 26061824 32577280 65154560 130309120