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130640510 = 257111331421
BaseRepresentation
bin1111100100101…
…10101001111110
3100002211020002102
413302112221332
5231420444020
620544025102
73144266060
oct762265176
9302736072
10130640510
116781a170
1237902192
13210b11a0
14134c9730
15b708475
hex7c96a7e

130640510 has 128 divisors (see below), whose sum is σ = 326688768. Its totient is φ = 36288000.

The previous prime is 130640509. The next prime is 130640513. The reversal of 130640510 is 15046031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130640513) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 310100 + ... + 310520.

It is an arithmetic number, because the mean of its divisors is an integer number (2552256).

Almost surely, 2130640510 is an apocalyptic number.

130640510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130640510 is an abundant number, since it is smaller than the sum of its proper divisors (196048258).

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

130640510 is a wasteful number, since it uses less digits than its factorization.

130640510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 130640510 is about 11429.8079598915. The cubic root of 130640510 is about 507.4103119918.

Adding to 130640510 its reverse (15046031), we get a palindrome (145686541).

The spelling of 130640510 in words is "one hundred thirty million, six hundred forty thousand, five hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 31 35 55 62 65 70 77 91 110 130 143 154 155 182 217 286 310 341 385 403 421 434 455 682 715 770 806 842 910 1001 1085 1430 1705 2002 2015 2105 2170 2387 2821 2947 3410 4030 4210 4433 4631 4774 5005 5473 5642 5894 8866 9262 10010 10946 11935 13051 14105 14735 22165 23155 23870 26102 27365 28210 29470 31031 32417 38311 44330 46310 54730 60203 62062 64834 65255 76622 91357 120406 130510 143561 155155 162085 169663 182714 191555 287122 301015 310310 324170 339326 383110 421421 456785 602030 717805 842842 848315 913570 1004927 1187641 1435610 1696630 1866293 2009854 2107105 2375282 3732586 4214210 5024635 5938205 9331465 10049270 11876410 13064051 18662930 26128102 65320255 130640510