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130366005 = 35711231331
BaseRepresentation
bin1111100010100…
…11101000110101
3100002022021112120
413301103220311
5231333203010
620534110153
73142043550
oct761235065
9302267476
10130366005
1167651a00
12377ab359
1321016263
1413457697
15b6a1e70
hex7c53a35

130366005 has 96 divisors (see below), whose sum is σ = 271294464. Its totient is φ = 52272000.

The previous prime is 130365947. The next prime is 130366021. The reversal of 130366005 is 500663031.

It is not a de Polignac number, because 130366005 - 28 = 130365749 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393690 + ... + 394020.

It is an arithmetic number, because the mean of its divisors is an integer number (2825984).

Almost surely, 2130366005 is an apocalyptic number.

130366005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130366005 is an abundant number, since it is smaller than the sum of its proper divisors (140928459).

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

130366005 is a wasteful number, since it uses less digits than its factorization.

130366005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 130366005 is about 11417.7933507311. The cubic root of 130366005 is about 507.0546685056.

The spelling of 130366005 in words is "one hundred thirty million, three hundred sixty-six thousand, five".

Divisors: 1 3 5 7 11 15 21 31 33 35 55 77 93 105 121 155 165 217 231 331 341 363 385 465 605 651 847 993 1023 1085 1155 1655 1705 1815 2317 2387 2541 3255 3641 3751 4235 4965 5115 6951 7161 10261 10923 11253 11585 11935 12705 18205 18755 25487 26257 30783 34755 35805 40051 51305 54615 56265 71827 76461 78771 112871 120153 127435 131285 153915 200255 215481 280357 338613 359135 382305 393855 564355 600765 790097 841071 1077405 1241581 1401785 1693065 2370291 3724743 3950485 4205355 6207905 8691067 11851455 18623715 26073201 43455335 130366005