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126338394 = 23713713259
BaseRepresentation
bin1111000011111…
…00010101011010
322210201122200210
413201330111122
5224320312034
620311511550
73062600340
oct741742532
9283648623
10126338394
11653509a6
12363885b6
1320235c60
1412ac9990
15b1588e9
hex787c55a

126338394 has 64 divisors (see below), whose sum is σ = 315463680. Its totient is φ = 32840640.

The previous prime is 126338369. The next prime is 126338417. The reversal of 126338394 is 493833621.

It is a super-2 number, since 2×1263383942 = 31922779596998472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37137 + ... + 40395.

It is an arithmetic number, because the mean of its divisors is an integer number (4929120).

Almost surely, 2126338394 is an apocalyptic number.

126338394 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126338394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157731840).

126338394 is an abundant number, since it is smaller than the sum of its proper divisors (189125286).

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

126338394 is a wasteful number, since it uses less digits than its factorization.

126338394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355.

The product of its digits is 93312, while the sum is 39.

The square root of 126338394 is about 11240.0353202292. The cubic root of 126338394 is about 501.7781938895.

The spelling of 126338394 in words is "one hundred twenty-six million, three hundred thirty-eight thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 71 78 91 142 182 213 273 426 497 546 923 994 1491 1846 2769 2982 3259 5538 6461 6518 9777 12922 19383 19554 22813 38766 42367 45626 68439 84734 127101 136878 231389 254202 296569 462778 593138 694167 889707 1388334 1619723 1779414 3008057 3239446 4859169 6016114 9024171 9718338 18048342 21056399 42112798 63169197 126338394