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130361520 = 24352811933
BaseRepresentation
bin1111100010100…
…10100010110000
3100002022001101110
413301102202300
5231333032040
620534033320
73142024512
oct761224260
9302261343
10130361520
11676495a3
12377a8840
13210141c3
1413455bb2
15b6a0980
hex7c528b0

130361520 has 80 divisors (see below), whose sum is σ = 405768672. Its totient is φ = 34621440.

The previous prime is 130361519. The next prime is 130361521. The reversal of 130361520 is 25163031.

It is an interprime number because it is at equal distance from previous prime (130361519) and next prime (130361521).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (130361521) 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, 66474 + ... + 68406.

Almost surely, 2130361520 is an apocalyptic number.

130361520 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 130361520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202884336).

130361520 is an abundant number, since it is smaller than the sum of its proper divisors (275407152).

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

130361520 is a wasteful number, since it uses less digits than its factorization.

130361520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 130361520 is about 11417.5969450669. The cubic root of 130361520 is about 507.0488536813.

The spelling of 130361520 in words is "one hundred thirty million, three hundred sixty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 281 562 843 1124 1405 1686 1933 2248 2810 3372 3866 4215 4496 5620 5799 6744 7732 8430 9665 11240 11598 13488 15464 16860 19330 22480 23196 28995 30928 33720 38660 46392 57990 67440 77320 92784 115980 154640 231960 463920 543173 1086346 1629519 2172692 2715865 3259038 4345384 5431730 6518076 8147595 8690768 10863460 13036152 16295190 21726920 26072304 32590380 43453840 65180760 130361520