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130096344 = 23371953769
BaseRepresentation
bin1111100000100…
…01110011011000
3100001210120122010
413300101303120
5231301040334
620524225520
73136541430
oct760216330
9301716563
10130096344
1167488344
123769b2a0
1320c505b1
14133c72c0
15b64c0e9
hex7c11cd8

130096344 has 128 divisors (see below), whose sum is σ = 399168000. Its totient is φ = 34504704.

The previous prime is 130096339. The next prime is 130096361. The reversal of 130096344 is 443690031.

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 31 ways as a sum of consecutive naturals, for example, 168792 + ... + 169560.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 2130096344 is an apocalyptic number.

130096344 is a gapful number since it is divisible by the number (14) 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 130096344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584000).

130096344 is an abundant number, since it is smaller than the sum of its proper divisors (269071656).

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

130096344 is a wasteful number, since it uses less digits than its factorization.

130096344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 130096344 is about 11405.9784323836. The cubic root of 130096344 is about 506.7048143792.

The spelling of 130096344 in words is "one hundred thirty million, ninety-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 53 56 57 76 84 106 114 133 152 159 168 212 228 266 318 371 399 424 456 532 636 742 769 798 1007 1064 1113 1272 1484 1538 1596 2014 2226 2307 2968 3021 3076 3192 4028 4452 4614 5383 6042 6152 7049 8056 8904 9228 10766 12084 14098 14611 16149 18456 21147 21532 24168 28196 29222 32298 40757 42294 43064 43833 56392 58444 64596 81514 84588 87666 102277 116888 122271 129192 163028 169176 175332 204554 244542 285299 306831 326056 350664 409108 489084 570598 613662 774383 818216 855897 978168 1141196 1227324 1548766 1711794 2282392 2323149 2454648 3097532 3423588 4646298 5420681 6195064 6847176 9292596 10841362 16262043 18585192 21682724 32524086 43365448 65048172 130096344