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130703868 = 223767223
BaseRepresentation
bin1111100101001…
…10000111111100
3100002221110000000
413302212013330
5231430010433
620545234300
73144651561
oct762460774
9302843000
10130703868
1167862829
1237932990
1321103c89
1413504868
15b71c113
hex7ca61fc

130703868 has 96 divisors (see below), whose sum is σ = 349726720. Its totient is φ = 42725232.

The previous prime is 130703863. The next prime is 130703879. The reversal of 130703868 is 868307031.

It is a super-2 number, since 2×1307038682 = 34167002220322848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130703861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586005 + ... + 586227.

Almost surely, 2130703868 is an apocalyptic number.

130703868 is a gapful number since it is divisible by the number (18) 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 130703868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174863360).

130703868 is an abundant number, since it is smaller than the sum of its proper divisors (219022852).

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

130703868 is an equidigital number, since it uses as much as digits as its factorization.

130703868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 130703868 is about 11432.5792365503. The cubic root of 130703868 is about 507.4923266411.

The spelling of 130703868 in words is "one hundred thirty million, seven hundred three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 223 243 268 324 402 446 486 603 669 729 804 892 972 1206 1338 1458 1809 2007 2187 2412 2676 2916 3618 4014 4374 5427 6021 7236 8028 8748 10854 12042 14941 16281 18063 21708 24084 29882 32562 36126 44823 48843 54189 59764 65124 72252 89646 97686 108378 134469 146529 162567 179292 195372 216756 268938 293058 325134 403407 487701 537876 586116 650268 806814 975402 1210221 1613628 1950804 2420442 3630663 4840884 7261326 10891989 14522652 21783978 32675967 43567956 65351934 130703868