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130610610 = 233513127293
BaseRepresentation
bin1111100100011…
…11010110110010
3100002202201002000
413302033112302
5231414014420
620543234430
73144112644
oct762172662
9302681060
10130610610
11677a9759
12378a8a16
13210a06b0
14134bc894
15b6ee690
hex7c8f5b2

130610610 has 128 divisors (see below), whose sum is σ = 379330560. Its totient is φ = 31788288.

The previous prime is 130610573. The next prime is 130610633. The reversal of 130610610 is 16016031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445624 + ... + 445916.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2130610610 is an apocalyptic number.

130610610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130610610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189665280).

130610610 is an abundant number, since it is smaller than the sum of its proper divisors (248719950).

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

130610610 is a wasteful number, since it uses less digits than its factorization.

130610610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 130610610 is about 11428.4999015619. The cubic root of 130610610 is about 507.3715983087.

130610610 divided by its sum of digits (18) gives a triangular number (7256145 = T3809).

Adding to 130610610 its reverse (16016031), we get a palindrome (146626641).

The spelling of 130610610 in words is "one hundred thirty million, six hundred ten thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 127 130 135 195 234 254 270 293 351 381 390 585 586 635 702 762 879 1143 1170 1270 1465 1651 1755 1758 1905 2286 2637 2930 3302 3429 3510 3809 3810 4395 4953 5274 5715 6858 7618 7911 8255 8790 9906 11427 11430 13185 14859 15822 16510 17145 19045 22854 24765 26370 29718 34281 34290 37211 38090 39555 44577 49530 57135 68562 74295 74422 79110 89154 102843 111633 114270 148590 171405 186055 205686 222885 223266 334899 342810 372110 445770 483743 514215 558165 669798 967486 1004697 1028430 1116330 1451229 1674495 2009394 2418715 2902458 3348990 4353687 4837430 5023485 7256145 8707374 10046970 13061061 14512290 21768435 26122122 43536870 65305305 130610610