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130254256 = 24111993719
BaseRepresentation
bin1111100001110…
…00010110110000
3100002002121020201
413300320112300
5231321114011
620531444544
73141100006
oct760702660
9302077221
10130254256
1167585a50
1237756754
1320ca7432
1413428a76
15b67dcc1
hex7c385b0

130254256 has 40 divisors (see below), whose sum is σ = 276768000. Its totient is φ = 58893120.

The previous prime is 130254251. The next prime is 130254263. The reversal of 130254256 is 652452031.

It is a super-2 number, since 2×1302542562 = 33932342412227072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130254251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33165 + ... + 36883.

It is an arithmetic number, because the mean of its divisors is an integer number (6919200).

Almost surely, 2130254256 is an apocalyptic number.

130254256 is a gapful number since it is divisible by the number (16) 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 130254256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138384000).

130254256 is an abundant number, since it is smaller than the sum of its proper divisors (146513744).

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

130254256 is a wasteful number, since it uses less digits than its factorization.

130254256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 130254256 is about 11412.8986677356. The cubic root of 130254256 is about 506.9097456268.

The spelling of 130254256 in words is "one hundred thirty million, two hundred fifty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 199 398 796 1592 2189 3184 3719 4378 7438 8756 14876 17512 29752 35024 40909 59504 81818 163636 327272 654544 740081 1480162 2960324 5920648 8140891 11841296 16281782 32563564 65127128 130254256