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130956210 = 23357116299
BaseRepresentation
bin1111100111000…
…11101110110010
3100010102021011000
413303203232302
5232011044320
620554502430
73150052350
oct763435662
9303367130
10130956210
1167a15380
1237a34a16
1321191aa8
141356c7d0
15b76bc90
hex7ce3bb2

130956210 has 128 divisors (see below), whose sum is σ = 435456000. Its totient is φ = 27207360.

The previous prime is 130956179. The next prime is 130956211. The reversal of 130956210 is 12659031.

130956210 is a `hidden beast` number, since 1 + 30 + 9 + 5 + 621 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (130956211) 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 63 ways as a sum of consecutive naturals, for example, 17641 + ... + 23939.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2130956210 is an apocalyptic number.

130956210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130956210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

130956210 is an abundant number, since it is smaller than the sum of its proper divisors (304499790).

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

130956210 is a wasteful number, since it uses less digits than its factorization.

130956210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6333 (or 6327 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 130956210 is about 11443.6100073360. The cubic root of 130956210 is about 507.8187115327.

The spelling of 130956210 in words is "one hundred thirty million, nine hundred fifty-six thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 594 630 693 770 945 990 1155 1386 1485 1890 2079 2310 2970 3465 4158 6299 6930 10395 12598 18897 20790 31495 37794 44093 56691 62990 69289 88186 94485 113382 132279 138578 170073 188970 207867 220465 264558 283455 340146 346445 396837 415734 440930 485023 566910 623601 661395 692890 793674 850365 970046 1039335 1190511 1247202 1322790 1455069 1700730 1870803 1984185 2078670 2381022 2425115 2910138 3118005 3741606 3968370 4365207 4850230 5952555 6236010 7275345 8730414 9354015 11905110 13095621 14550690 18708030 21826035 26191242 43652070 65478105 130956210