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130312416 = 25313104417
BaseRepresentation
bin1111100010001…
…10100011100000
3100002012120000210
413301012203200
5231324444131
620533014120
73141431403
oct761064340
9302176023
10130312416
1167615713
1237784340
1320cc7a50
1413441d3a
15b691146
hex7c468e0

130312416 has 48 divisors (see below), whose sum is σ = 368386704. Its totient is φ = 40095744.

The previous prime is 130312397. The next prime is 130312417. The reversal of 130312416 is 614213031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 130312392 and 130312401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130312417) 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, 50961 + ... + 53456.

It is an arithmetic number, because the mean of its divisors is an integer number (7674723).

Almost surely, 2130312416 is an apocalyptic number.

130312416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130312416 is an abundant number, since it is smaller than the sum of its proper divisors (238074288).

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

130312416 is a wasteful number, since it uses less digits than its factorization.

130312416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104443 (or 104435 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 130312416 is about 11415.4463776061. The cubic root of 130312416 is about 506.9851813805.

Adding to 130312416 its reverse (614213031), we get a palindrome (744525447).

The spelling of 130312416 in words is "one hundred thirty million, three hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 104417 208834 313251 417668 626502 835336 1253004 1357421 1670672 2506008 2714842 3341344 4072263 5012016 5429684 8144526 10024032 10859368 16289052 21718736 32578104 43437472 65156208 130312416