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126323130 = 235232959107
BaseRepresentation
bin1111000011110…
…00100110111010
322210200212202110
413201320212322
5224314320010
620311313150
73062505003
oct741704672
9283625673
10126323130
116534048a
123637b7b6
132022c01b
1412ac41aa
15b154120
hex78789ba

126323130 has 128 divisors (see below), whose sum is σ = 335923200. Its totient is φ = 30297344.

The previous prime is 126323123. The next prime is 126323147. The reversal of 126323130 is 31323621.

It is a junction number, because it is equal to n+sod(n) for n = 126323097 and 126323106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1180537 + ... + 1180643.

It is an arithmetic number, because the mean of its divisors is an integer number (2624400).

Almost surely, 2126323130 is an apocalyptic number.

126323130 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 126323130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167961600).

126323130 is an abundant number, since it is smaller than the sum of its proper divisors (209600070).

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

126323130 is a wasteful number, since it uses less digits than its factorization.

126323130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 126323130 is about 11239.3562982940. The cubic root of 126323130 is about 501.7579850662.

Adding to 126323130 its reverse (31323621), we get a palindrome (157646751).

The spelling of 126323130 in words is "one hundred twenty-six million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 59 69 87 107 115 118 138 145 174 177 214 230 290 295 321 345 354 435 535 590 642 667 690 870 885 1070 1334 1357 1605 1711 1770 2001 2461 2714 3103 3210 3335 3422 4002 4071 4922 5133 6206 6313 6670 6785 7383 8142 8555 9309 10005 10266 12305 12626 13570 14766 15515 17110 18618 18939 20010 20355 24610 25665 31030 31565 36915 37878 39353 40710 46545 51330 63130 71369 73830 78706 93090 94695 118059 142738 145199 183077 189390 196765 214107 236118 290398 356845 366154 393530 428214 435597 549231 590295 713690 725995 871194 915385 1070535 1098462 1180590 1451990 1830770 2141070 2177985 2746155 4210771 4355970 5492310 8421542 12632313 21053855 25264626 42107710 63161565 126323130