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130660776 = 23341729409
BaseRepresentation
bin1111100100110…
…11100110101000
3100002212020220000
413302123212220
5231422121101
620544303000
73144412131
oct762334650
9302766800
10130660776
1167833414
1237911a60
13210ba48c
14134d2c88
15b70e486
hex7c9b9a8

130660776 has 160 divisors (see below), whose sum is σ = 401841000. Its totient is φ = 39481344.

The previous prime is 130660763. The next prime is 130660837. The reversal of 130660776 is 677066031.

It can be written as a sum of positive squares in 4 ways, for example, as 130644900 + 15876 = 11430^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130660776.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 319260 + ... + 319668.

Almost surely, 2130660776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130660776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200920500).

130660776 is an abundant number, since it is smaller than the sum of its proper divisors (271180224).

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

130660776 is a wasteful number, since it uses less digits than its factorization.

130660776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 130660776 is about 11430.6944670917. The cubic root of 130660776 is about 507.4365484828.

The spelling of 130660776 in words is "one hundred thirty million, six hundred sixty thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 29 34 36 51 54 58 68 72 81 87 102 108 116 136 153 162 174 204 216 232 261 306 324 348 408 409 459 493 522 612 648 696 783 818 918 986 1044 1224 1227 1377 1479 1566 1636 1836 1972 2088 2349 2454 2754 2958 3132 3272 3672 3681 3944 4437 4698 4908 5508 5916 6264 6953 7362 8874 9396 9816 11016 11043 11832 11861 13311 13906 14724 17748 18792 20859 22086 23722 26622 27812 29448 33129 35496 35583 39933 41718 44172 47444 53244 55624 62577 66258 71166 79866 83436 88344 94888 106488 106749 125154 132516 142332 159732 166872 187731 201637 213498 250308 265032 284664 319464 320247 375462 403274 426996 500616 563193 604911 640494 750924 806548 853992 960741 1126386 1209822 1280988 1501848 1613096 1814733 1921482 2252772 2419644 2561976 3629466 3842964 4505544 4839288 5444199 7258932 7685928 10888398 14517864 16332597 21776796 32665194 43553592 65330388 130660776