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130826310 = 23510143177
BaseRepresentation
bin1111100110001…
…00000001000110
3100010011122221220
413303010001012
5231442420220
620552021210
73146001546
oct763040106
9303148856
10130826310
116793681a
1237991806
1321147924
1413537326
15b743540
hex7cc4046

130826310 has 32 divisors (see below), whose sum is σ = 317099232. Its totient is φ = 34540800.

The previous prime is 130826309. The next prime is 130826329. The reversal of 130826310 is 13628031.

130826310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1308263102 = 34231046776432200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18559 + ... + 24618.

It is an arithmetic number, because the mean of its divisors is an integer number (9909351).

Almost surely, 2130826310 is an apocalyptic number.

130826310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130826310 is an abundant number, since it is smaller than the sum of its proper divisors (186272922).

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

130826310 is a wasteful number, since it uses less digits than its factorization.

130826310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43288.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 130826310 is about 11437.9329426256. The cubic root of 130826310 is about 507.6507483287.

The spelling of 130826310 in words is "one hundred thirty million, eight hundred twenty-six thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 101 202 303 505 606 1010 1515 3030 43177 86354 129531 215885 259062 431770 647655 1295310 4360877 8721754 13082631 21804385 26165262 43608770 65413155 130826310