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126608130 = 23351147907
BaseRepresentation
bin1111000101111…
…10001100000010
322211020100201000
413202332030002
5224402430010
620321352430
73065102625
oct742761402
9284210630
10126608130
1165515620
1236498716
13202cb96c
1412b59dbc
15b1ad7c0
hex78be302

126608130 has 128 divisors (see below), whose sum is σ = 376565760. Its totient is φ = 30006720.

The previous prime is 126608089. The next prime is 126608137. The reversal of 126608130 is 31806621.

126608130 is a `hidden beast` number, since 1 + 26 + 608 + 1 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 126608094 and 126608103.

It is not an unprimeable number, because it can be changed into a prime (126608137) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 139137 + ... + 140043.

It is an arithmetic number, because the mean of its divisors is an integer number (2941920).

Almost surely, 2126608130 is an apocalyptic number.

126608130 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 126608130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188282880).

126608130 is an abundant number, since it is smaller than the sum of its proper divisors (249957630).

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

126608130 is a wasteful number, since it uses less digits than its factorization.

126608130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 126608130 is about 11252.0278172425. The cubic root of 126608130 is about 502.1350435350.

The spelling of 126608130 in words is "one hundred twenty-six million, six hundred eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 47 54 55 66 90 94 99 110 135 141 165 198 235 270 282 297 330 423 470 495 517 594 705 846 907 990 1034 1269 1410 1485 1551 1814 2115 2538 2585 2721 2970 3102 4230 4535 4653 5170 5442 6345 7755 8163 9070 9306 9977 12690 13605 13959 15510 16326 19954 23265 24489 27210 27918 29931 40815 42629 46530 48978 49885 59862 69795 81630 85258 89793 99770 122445 127887 139590 149655 179586 213145 244890 255774 269379 299310 383661 426290 448965 468919 538758 639435 767322 897930 937838 1150983 1278870 1346895 1406757 1918305 2301966 2344595 2693790 2813514 3836610 4220271 4689190 5754915 7033785 8440542 11509830 12660813 14067570 21101355 25321626 42202710 63304065 126608130