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126400014 = 23413471277
BaseRepresentation
bin1111000100010…
…11011000001110
322210211210020000
413202023120032
5224324300024
620313105130
73063245106
oct742133016
9283753200
10126400014
1165393224
12363b81a6
1320258010
1412b04206
15b16bcc9
hex788b60e

126400014 has 80 divisors (see below), whose sum is σ = 311750208. Its totient is φ = 38035008.

The previous prime is 126400013. The next prime is 126400031. The reversal of 126400014 is 410004621.

126400014 is a `hidden beast` number, since 12 + 640 + 0 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 126400014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126400013) 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 39 ways as a sum of consecutive naturals, for example, 98344 + ... + 99620.

Almost surely, 2126400014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126400014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155875104).

126400014 is an abundant number, since it is smaller than the sum of its proper divisors (185350194).

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

126400014 is a wasteful number, since it uses less digits than its factorization.

126400014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 126400014 is about 11242.7760806662. The cubic root of 126400014 is about 501.8597593472.

Adding to 126400014 its reverse (410004621), we get a palindrome (536404635).

The spelling of 126400014 in words is "one hundred twenty-six million, four hundred thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 78 81 94 117 141 162 234 282 351 423 611 702 846 1053 1222 1269 1277 1833 2106 2538 2554 3666 3807 3831 5499 7614 7662 10998 11493 16497 16601 22986 32994 33202 34479 49491 49803 60019 68958 98982 99606 103437 120038 149409 180057 206874 298818 360114 448227 540171 780247 896454 1080342 1344681 1560494 1620513 2340741 2689362 3241026 4681482 4861539 7022223 9723078 14044446 21066669 42133338 63200007 126400014