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130096440 = 23325379767
BaseRepresentation
bin1111100000100…
…01110100111000
3100001210120202200
413300101310320
5231301041230
620524230200
73136541625
oct760216470
9301716680
10130096440
1167488421
123769b360
1320c50656
14133c734c
15b64c160
hex7c11d38

130096440 has 96 divisors (see below), whose sum is σ = 434285280. Its totient is φ = 33751296.

The previous prime is 130096361. The next prime is 130096451. The reversal of 130096440 is 44690031.

130096440 is a `hidden beast` number, since 13 + 0 + 0 + 9 + 644 + 0 = 666.

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, 8437 + ... + 18203.

It is an arithmetic number, because the mean of its divisors is an integer number (4523805).

Almost surely, 2130096440 is an apocalyptic number.

130096440 is a gapful number since it is divisible by the number (10) 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 130096440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217142640).

130096440 is an abundant number, since it is smaller than the sum of its proper divisors (304188840).

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

130096440 is a wasteful number, since it uses less digits than its factorization.

130096440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9821 (or 9814 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 130096440 is about 11405.9826407022. The cubic root of 130096440 is about 506.7049390141.

The spelling of 130096440 in words is "one hundred thirty million, ninety-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 9767 13320 19534 29301 39068 48835 58602 78136 87903 97670 117204 146505 175806 195340 234408 293010 351612 361379 390680 439515 586020 703224 722758 879030 1084137 1172040 1445516 1758060 1806895 2168274 2891032 3252411 3516120 3613790 4336548 5420685 6504822 7227580 8673096 10841370 13009644 14455160 16262055 21682740 26019288 32524110 43365480 65048220 130096440