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130442256 = 24327151857
BaseRepresentation
bin1111100011001…
…10010000010000
3100002110011010200
413301212100100
5231343123011
620535455200
73142512060
oct761462020
9302404120
10130442256
11676a421a
1237827500
1321041b89
14134773a0
15b6b9856
hex7c66410

130442256 has 120 divisors (see below), whose sum is σ = 420461184. Its totient is φ = 36979200.

The previous prime is 130442251. The next prime is 130442297. The reversal of 130442256 is 652244031.

It is not an unprimeable number, because it can be changed into a prime (130442251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151780 + ... + 152636.

Almost surely, 2130442256 is an apocalyptic number.

130442256 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 130442256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210230592).

130442256 is an abundant number, since it is smaller than the sum of its proper divisors (290018928).

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

130442256 is a wasteful number, since it uses less digits than its factorization.

130442256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 130442256 is about 11421.1319929331. The cubic root of 130442256 is about 507.1535078973.

Adding to 130442256 its reverse (652244031), we get a palindrome (782686287).

The spelling of 130442256 in words is "one hundred thirty million, four hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 151 168 252 302 336 453 504 604 857 906 1008 1057 1208 1359 1714 1812 2114 2416 2571 2718 3171 3428 3624 4228 5142 5436 5999 6342 6856 7248 7713 8456 9513 10284 10872 11998 12684 13712 15426 16912 17997 19026 20568 21744 23996 25368 30852 35994 38052 41136 47992 50736 53991 61704 71988 76104 95984 107982 123408 129407 143976 152208 215964 258814 287952 388221 431928 517628 776442 863856 905849 1035256 1164663 1552884 1811698 2070512 2329326 2717547 3105768 3623396 4658652 5435094 6211536 7246792 8152641 9317304 10870188 14493584 16305282 18634608 21740376 32610564 43480752 65221128 130442256