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130770860 = 2251129103199
BaseRepresentation
bin1111100101101…
…10011110101100
3100010001211220012
413302312132230
5231434131420
620550512352
73145351103
oct762663654
9303054805
10130770860
11678a90a0
12379656b8
132112860c
141352103a
15b731dc5
hex7cb67ac

130770860 has 96 divisors (see below), whose sum is σ = 314496000. Its totient is φ = 45239040.

The previous prime is 130770821. The next prime is 130770877. The reversal of 130770860 is 68077031.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657041 + ... + 657239.

It is an arithmetic number, because the mean of its divisors is an integer number (3276000).

Almost surely, 2130770860 is an apocalyptic number.

130770860 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 130770860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

130770860 is an abundant number, since it is smaller than the sum of its proper divisors (183725140).

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

130770860 is a wasteful number, since it uses less digits than its factorization.

130770860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 130770860 is about 11435.5087337643. The cubic root of 130770860 is about 507.5790165496.

The spelling of 130770860 in words is "one hundred thirty million, seven hundred seventy thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 103 110 116 145 199 206 220 290 319 398 412 515 580 638 796 995 1030 1133 1276 1595 1990 2060 2189 2266 2987 3190 3980 4378 4532 5665 5771 5974 6380 8756 10945 11330 11542 11948 14935 20497 21890 22660 23084 28855 29870 32857 40994 43780 57710 59740 63481 65714 81988 102485 115420 126962 131428 164285 204970 225467 253924 317405 328570 409940 450934 594413 634810 657140 901868 1127335 1188826 1269620 2254670 2377652 2972065 4509340 5944130 6538543 11888260 13077086 26154172 32692715 65385430 130770860