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126225726 = 23114379563
BaseRepresentation
bin1111000011000…
…00110100111110
322210111221010220
413201200310332
5224303210401
620305242210
73061621014
oct741406476
9283457126
10126225726
1165284290
1236333366
13201c68a3
1412a9a8b4
15b135336
hex7860d3e

126225726 has 64 divisors (see below), whose sum is σ = 285880320. Its totient is φ = 36822240.

The previous prime is 126225713. The next prime is 126225727. The reversal of 126225726 is 627522621.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126225727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223921 + ... + 224483.

It is an arithmetic number, because the mean of its divisors is an integer number (4466880).

Almost surely, 2126225726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126225726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142940160).

126225726 is an abundant number, since it is smaller than the sum of its proper divisors (159654594).

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

126225726 is a wasteful number, since it uses less digits than its factorization.

126225726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701.

The product of its digits is 20160, while the sum is 33.

The square root of 126225726 is about 11235.0222963731. The cubic root of 126225726 is about 501.6289883636.

The spelling of 126225726 in words is "one hundred twenty-six million, two hundred twenty-five thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 43 66 79 86 129 158 237 258 473 474 563 869 946 1126 1419 1689 1738 2607 2838 3378 3397 5214 6193 6794 10191 12386 18579 20382 24209 37158 37367 44477 48418 72627 74734 88954 112101 133431 145254 224202 266299 266862 489247 532598 798897 978494 1467741 1597794 1912511 2935482 3825022 5737533 11475066 21037621 42075242 63112863 126225726