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130507216 = 2478271409
BaseRepresentation
bin1111100011101…
…10000111010000
3100002120110020121
413301312013100
5231402212331
620541120024
73143202340
oct761660720
9302513217
10130507216
1167739004
1237859014
1321065608
1413492d20
15b6cdc11
hex7c761d0

130507216 has 40 divisors (see below), whose sum is σ = 289535040. Its totient is φ = 55824384.

The previous prime is 130507183. The next prime is 130507217. The reversal of 130507216 is 612705031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130507217) 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, 91920 + ... + 93328.

It is an arithmetic number, because the mean of its divisors is an integer number (7238376).

Almost surely, 2130507216 is an apocalyptic number.

130507216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130507216 is an abundant number, since it is smaller than the sum of its proper divisors (159027824).

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

130507216 is a wasteful number, since it uses less digits than its factorization.

130507216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 130507216 is about 11423.9754901698. The cubic root of 130507216 is about 507.2376810929.

The spelling of 130507216 in words is "one hundred thirty million, five hundred seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 827 1409 1654 2818 3308 5636 5789 6616 9863 11272 11578 13232 19726 22544 23156 39452 46312 78904 92624 157808 1165243 2330486 4660972 8156701 9321944 16313402 18643888 32626804 65253608 130507216