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126455868 = 2232751119
BaseRepresentation
bin1111000100110…
…01000000111100
322210221121211200
413202121000330
5224333041433
620314215500
73063600000
oct742310074
9283847750
10126455868
1165421190
1236424590
1320277576
1412b1a700
15b17d613
hex789903c

126455868 has 216 divisors, whose sum is σ = 428238720. Its totient is φ = 31116960.

The previous prime is 126455837. The next prime is 126455869. The reversal of 126455868 is 868554621.

126455868 is a `hidden beast` number, since 1 + 2 + 64 + 5 + 586 + 8 = 666.

Its product of digits (460800) is a multiple of the sum of its prime factors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126455869) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6655563 + ... + 6655581.

Almost surely, 2126455868 is an apocalyptic number.

126455868 is a gapful number since it is divisible by the number (18) 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 126455868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214119360).

126455868 is an abundant number, since it is smaller than the sum of its proper divisors (301782852).

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

126455868 is a wasteful number, since it uses less digits than its factorization.

126455868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 126455868 is about 11245.2598013563. The cubic root of 126455868 is about 501.9336695374.

The spelling of 126455868 in words is "one hundred twenty-six million, four hundred fifty-five thousand, eight hundred sixty-eight".