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126056292 = 22317312643
BaseRepresentation
bin1111000001101…
…11011101100100
322210012022201120
413200313131210
5224232300132
620301453540
73060314025
oct740673544
9283168646
10126056292
1165178a5a
12362712b0
132016772b
1412a54c4c
15b10002c
hex7837764

126056292 has 72 divisors (see below), whose sum is σ = 322303968. Its totient is φ = 38211840.

The previous prime is 126056291. The next prime is 126056339. The reversal of 126056292 is 292650621.

It is not an unprimeable number, because it can be changed into a prime (126056291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195723 + ... + 196365.

It is an arithmetic number, because the mean of its divisors is an integer number (4476444).

Almost surely, 2126056292 is an apocalyptic number.

126056292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126056292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161151984).

126056292 is an abundant number, since it is smaller than the sum of its proper divisors (196247676).

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

126056292 is a wasteful number, since it uses less digits than its factorization.

126056292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 126056292 is about 11227.4793252983. The cubic root of 126056292 is about 501.4044407322.

The spelling of 126056292 in words is "one hundred twenty-six million, fifty-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 643 961 1054 1286 1581 1922 1929 2108 2572 2883 3162 3844 3858 5766 6324 7716 10931 11532 16337 19933 21862 32674 32793 39866 43724 49011 59799 65348 65586 79732 98022 119598 131172 196044 239196 338861 617923 677722 1016583 1235846 1355444 1853769 2033166 2471692 3707538 4066332 7415076 10504691 21009382 31514073 42018764 63028146 126056292