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130863678 = 231121953179
BaseRepresentation
bin1111100110011…
…01001000111110
3100010020120012220
413303031020332
5232000114203
620552510210
73146215521
oct763151076
9303216186
10130863678
1167961900
12379ab366
132115b93a
1413546bb8
15b74e653
hex7ccd23e

130863678 has 96 divisors (see below), whose sum is σ = 310262400. Its totient is φ = 36653760.

The previous prime is 130863647. The next prime is 130863683. The reversal of 130863678 is 876368031.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730993 + ... + 731171.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 2130863678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130863678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

130863678 is an abundant number, since it is smaller than the sum of its proper divisors (179398722).

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

130863678 is a wasteful number, since it uses less digits than its factorization.

130863678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 130863678 is about 11439.5663379343. The cubic root of 130863678 is about 507.6990772602.

The spelling of 130863678 in words is "one hundred thirty million, eight hundred sixty-three thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 11 19 22 33 38 53 57 66 106 114 121 159 179 209 242 318 358 363 418 537 583 627 726 1007 1074 1166 1254 1749 1969 2014 2299 3021 3401 3498 3938 4598 5907 6042 6413 6802 6897 9487 10203 11077 11814 12826 13794 18974 19239 20406 21659 22154 28461 33231 37411 38478 43318 56922 64977 66462 74822 104357 112233 121847 129954 180253 208714 224466 243694 313071 360506 365541 411521 540759 626142 731082 823042 1081518 1147927 1234563 1982783 2295854 2469126 3443781 3965566 5948349 6887562 11896698 21810613 43621226 65431839 130863678