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130568340 = 22357289499
BaseRepresentation
bin1111100100001…
…01000010010100
3100002200120002110
413302011002110
5231411141330
620542311020
73143545500
oct762050224
9302616073
10130568340
116777aa21
1237888470
1321087396
14134ab300
15b6e1db0
hex7c85094

130568340 has 144 divisors (see below), whose sum is σ = 430920000. Its totient is φ = 29449728.

The previous prime is 130568299. The next prime is 130568359. The reversal of 130568340 is 43865031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 130568298 and 130568307.

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 47 ways as a sum of consecutive naturals, for example, 261411 + ... + 261909.

It is an arithmetic number, because the mean of its divisors is an integer number (2992500).

Almost surely, 2130568340 is an apocalyptic number.

130568340 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 130568340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215460000).

130568340 is an abundant number, since it is smaller than the sum of its proper divisors (300351660).

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

130568340 is a wasteful number, since it uses less digits than its factorization.

130568340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 130568340 is about 11426.6504278375. The cubic root of 130568340 is about 507.3168582140.

The spelling of 130568340 in words is "one hundred thirty million, five hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 89 98 105 140 147 178 196 210 245 267 294 356 420 445 490 499 534 588 623 735 890 980 998 1068 1246 1335 1470 1497 1780 1869 1996 2492 2495 2670 2940 2994 3115 3493 3738 4361 4990 5340 5988 6230 6986 7476 7485 8722 9345 9980 10479 12460 13083 13972 14970 17444 17465 18690 20958 21805 24451 26166 29940 34930 37380 41916 43610 44411 48902 52332 52395 65415 69860 73353 87220 88822 97804 104790 122255 130830 133233 146706 177644 209580 222055 244510 261660 266466 293412 310877 366765 444110 489020 532932 621754 666165 733530 888220 932631 1243508 1332330 1467060 1554385 1865262 2176139 2664660 3108770 3730524 4352278 4663155 6217540 6528417 8704556 9326310 10880695 13056834 18652620 21761390 26113668 32642085 43522780 65284170 130568340