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130341456 = 24327191677
BaseRepresentation
bin1111100010011…
…01101001010000
3100002021000212100
413301031221100
5231331411311
620533400400
73141612150
oct761155120
9302230770
10130341456
1167635513
1237799100
132100802b
141344c760
15b699a56
hex7c4da50

130341456 has 120 divisors (see below), whose sum is σ = 419687424. Its totient is φ = 36990720.

The previous prime is 130341439. The next prime is 130341461. The reversal of 130341456 is 654143031.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 192190 + ... + 192866.

Almost surely, 2130341456 is an apocalyptic number.

130341456 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 130341456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209843712).

130341456 is an abundant number, since it is smaller than the sum of its proper divisors (289345968).

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

130341456 is a wasteful number, since it uses less digits than its factorization.

130341456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 130341456 is about 11416.7182675233. The cubic root of 130341456 is about 507.0228389744.

Adding to 130341456 its reverse (654143031), we get a palindrome (784484487).

The spelling of 130341456 in words is "one hundred thirty million, three hundred forty-one thousand, four 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 84 112 126 144 168 191 252 336 382 504 573 677 764 1008 1146 1337 1354 1528 1719 2031 2292 2674 2708 3056 3438 4011 4062 4584 4739 5348 5416 6093 6876 8022 8124 9168 9478 10696 10832 12033 12186 13752 14217 16044 16248 18956 21392 24066 24372 27504 28434 32088 32496 37912 42651 48132 48744 56868 64176 75824 85302 96264 97488 113736 129307 170604 192528 227472 258614 341208 387921 517228 682416 775842 905149 1034456 1163763 1551684 1810298 2068912 2327526 2715447 3103368 3620596 4655052 5430894 6206736 7241192 8146341 9310104 10861788 14482384 16292682 18620208 21723576 32585364 43447152 65170728 130341456