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126225460 = 22523926407
BaseRepresentation
bin1111000011000…
…00110000110100
322210111220210001
413201200300310
5224303203320
620305241044
73061620154
oct741406064
9283456701
10126225460
1165284069
1236333184
13201c672a
1412a9a764
15b13520a
hex7860c34

126225460 has 24 divisors (see below), whose sum is σ = 266192640. Its totient is φ = 50277024.

The previous prime is 126225431. The next prime is 126225461. The reversal of 126225460 is 64522621.

126225460 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

126225460 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126225461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8424 + ... + 17983.

It is an arithmetic number, because the mean of its divisors is an integer number (11091360).

Almost surely, 2126225460 is an apocalyptic number.

126225460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126225460 is an abundant number, since it is smaller than the sum of its proper divisors (139967180).

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

126225460 is a wasteful number, since it uses less digits than its factorization.

126225460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26655 (or 26653 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 126225460 is about 11235.0104583841. The cubic root of 126225460 is about 501.6286359964.

The spelling of 126225460 in words is "one hundred twenty-six million, two hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 239 478 956 1195 2390 4780 26407 52814 105628 132035 264070 528140 6311273 12622546 25245092 31556365 63112730 126225460