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130095504 = 24337113911
BaseRepresentation
bin1111100000100…
…01100110010000
3100001210112111000
413300101212100
5231301024004
620524222000
73136536120
oct760214620
9301715430
10130095504
1167487750
123769a900
1320c500b6
14133c6c80
15b64bc39
hex7c11990

130095504 has 160 divisors (see below), whose sum is σ = 465684480. Its totient is φ = 33782400.

The previous prime is 130095491. The next prime is 130095517. The reversal of 130095504 is 405590031.

It is an interprime number because it is at equal distance from previous prime (130095491) and next prime (130095517).

It is a super-2 number, since 2×1300955042 = 33849680322028032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31309 + ... + 35219.

It is an arithmetic number, because the mean of its divisors is an integer number (2910528).

Almost surely, 2130095504 is an apocalyptic number.

130095504 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 130095504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232842240).

130095504 is an abundant number, since it is smaller than the sum of its proper divisors (335588976).

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

130095504 is a wasteful number, since it uses less digits than its factorization.

130095504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 130095504 is about 11405.9416095297. The cubic root of 130095504 is about 506.7037238208.

The spelling of 130095504 in words is "one hundred thirty million, ninety-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 3911 4158 4752 5544 7822 8316 11088 11733 15644 16632 23466 27377 31288 33264 35199 43021 46932 54754 62576 70398 82131 86042 93864 105597 109508 129063 140796 164262 172084 187728 211194 219016 246393 258126 281592 301147 328524 344168 387189 422388 438032 492786 516252 563184 602294 657048 688336 739179 774378 844776 903441 985572 1032504 1161567 1204588 1314096 1478358 1548756 1689552 1806882 1971144 2065008 2323134 2409176 2710323 2956716 3097512 3613764 3942288 4646268 4818352 5420646 5913432 6195024 7227528 8130969 9292536 10841292 11826864 14455056 16261938 18585072 21682584 32523876 43365168 65047752 130095504