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130703664 = 243713231301
BaseRepresentation
bin1111100101001…
…10000100110000
3100002221102201110
413302212010300
5231430004124
620545233320
73144651150
oct762460460
9302842643
10130703664
1167862663
1237932840
1321103b60
1413504760
15b71c029
hex7ca6130

130703664 has 160 divisors (see below), whose sum is σ = 433972224. Its totient is φ = 32947200.

The previous prime is 130703627. The next prime is 130703689. The reversal of 130703664 is 466307031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99814 + ... + 101114.

Almost surely, 2130703664 is an apocalyptic number.

130703664 is a gapful number since it is divisible by the number (14) 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 130703664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216986112).

130703664 is an abundant number, since it is smaller than the sum of its proper divisors (303268560).

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

130703664 is a wasteful number, since it uses less digits than its factorization.

130703664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 130703664 is about 11432.5703146755. The cubic root of 130703664 is about 507.4920626130.

The spelling of 130703664 in words is "one hundred thirty million, seven hundred three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 39 42 46 48 52 56 69 78 84 91 92 104 112 138 156 161 168 182 184 208 273 276 299 312 322 336 364 368 483 546 552 598 624 644 728 897 966 1092 1104 1196 1288 1301 1456 1794 1932 2093 2184 2392 2576 2602 3588 3864 3903 4186 4368 4784 5204 6279 7176 7728 7806 8372 9107 10408 12558 14352 15612 16744 16913 18214 20816 25116 27321 29923 31224 33488 33826 36428 50232 50739 54642 59846 62448 67652 72856 89769 100464 101478 109284 118391 119692 135304 145712 179538 202956 209461 218568 236782 239384 270608 355173 359076 388999 405912 418922 437136 473564 478768 628383 710346 718152 777998 811824 837844 947128 1166997 1256766 1420692 1436304 1555996 1675688 1894256 2333994 2513532 2722993 2841384 3111992 3351376 4667988 5027064 5445986 5682768 6223984 8168979 9335976 10054128 10891972 16337958 18671952 21783944 32675916 43567888 65351832 130703664