Search a number
-
+
130991985 = 3451929587
BaseRepresentation
bin1111100111011…
…00011101110001
3100010111002020000
413303230131301
5232013220420
620555340213
73150261555
oct763543561
9303432200
10130991985
1167a3a243
1237a51669
13211a5167
141357b865
15b777690
hex7cec771

130991985 has 80 divisors (see below), whose sum is σ = 256132800. Its totient is φ = 63794304.

The previous prime is 130991983. The next prime is 130992013. The reversal of 130991985 is 589199031.

It is not a de Polignac number, because 130991985 - 21 = 130991983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130991985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130991981) 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 79 ways as a sum of consecutive naturals, for example, 222862 + ... + 223448.

It is an arithmetic number, because the mean of its divisors is an integer number (3201660).

Almost surely, 2130991985 is an apocalyptic number.

130991985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130991985 is a deficient number, since it is larger than the sum of its proper divisors (125140815).

130991985 is a wasteful number, since it uses less digits than its factorization.

130991985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The square root of 130991985 is about 11445.1730000031. The cubic root of 130991985 is about 507.8649497888.

The spelling of 130991985 in words is "one hundred thirty million, nine hundred ninety-one thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 19 27 29 45 57 81 87 95 135 145 171 261 285 405 435 513 551 587 783 855 1305 1539 1653 1761 2349 2565 2755 2935 3915 4959 5283 7695 8265 8805 11153 11745 14877 15849 17023 24795 26415 33459 44631 47547 51069 55765 74385 79245 85115 100377 153207 167295 223155 237735 255345 301131 323437 459621 501885 766035 903393 970311 1378863 1505655 1617185 2298105 2910933 4516965 4851555 6894315 8732799 14554665 26198397 43663995 130991985