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131928210 = 23351925717
BaseRepresentation
bin1111101110100…
…01000010010010
3100012020122111000
413313101002102
5232233200320
621031402430
73161241231
oct767210222
9305218430
10131928210
1168519687
1238223416
132144233b
1413742b18
15b8aec90
hex7dd1092

131928210 has 64 divisors (see below), whose sum is σ = 370339200. Its totient is φ = 33327936.

The previous prime is 131928193. The next prime is 131928227. The reversal of 131928210 is 12829131.

It is an interprime number because it is at equal distance from previous prime (131928193) and next prime (131928227).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7729 + ... + 17988.

It is an arithmetic number, because the mean of its divisors is an integer number (5786550).

Almost surely, 2131928210 is an apocalyptic number.

131928210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131928210 is an abundant number, since it is smaller than the sum of its proper divisors (238410990).

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

131928210 is a wasteful number, since it uses less digits than its factorization.

131928210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25752 (or 25746 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 131928210 is about 11486.0006094376. Note that the first 3 decimals coincide. The cubic root of 131928210 is about 509.0720149045.

The spelling of 131928210 in words is "one hundred thirty-one million, nine hundred twenty-eight thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 25717 51434 77151 128585 154302 231453 257170 385755 462906 488623 694359 771510 977246 1157265 1388718 1465869 2314530 2443115 2931738 3471795 4397607 4886230 6943590 7329345 8795214 13192821 14658690 21988035 26385642 43976070 65964105 131928210