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130515320 = 23513243449
BaseRepresentation
bin1111100011110…
…00000101111000
3100002120212100202
413301320011320
5231402442240
620541221332
73143235065
oct761700570
9302525322
10130515320
1167744101
1237861848
1321069200
1413495c6c
15b6d1315
hex7c78178

130515320 has 96 divisors (see below), whose sum is σ = 326106000. Its totient is φ = 46964736.

The previous prime is 130515289. The next prime is 130515337. The reversal of 130515320 is 23515031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130515292 and 130515301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290456 + ... + 290904.

Almost surely, 2130515320 is an apocalyptic number.

130515320 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 130515320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163053000).

130515320 is an abundant number, since it is smaller than the sum of its proper divisors (195590680).

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

130515320 is a wasteful number, since it uses less digits than its factorization.

130515320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 130515320 is about 11424.3301773014. The cubic root of 130515320 is about 507.2481800503.

The spelling of 130515320 in words is "one hundred thirty million, five hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 169 172 215 260 338 344 430 449 520 559 676 845 860 898 1118 1352 1690 1720 1796 2236 2245 2795 3380 3592 4472 4490 5590 5837 6760 7267 8980 11180 11674 14534 17960 19307 22360 23348 29068 29185 36335 38614 46696 58136 58370 72670 75881 77228 96535 116740 145340 151762 154456 193070 233480 250991 290680 303524 379405 386140 501982 607048 758810 772280 1003964 1254955 1517620 2007928 2509910 3035240 3262883 5019820 6525766 10039640 13051532 16314415 26103064 32628830 65257660 130515320