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1056227040 = 253451131239
BaseRepresentation
bin111110111101001…
…011111011100000
32201121110220010000
4332331023323200
54130343231130
6252450340000
735113532061
oct7675137340
92647426100
101056227040
114a2238010
1225588a600
1313aa95a1b
14a03c6568
1562adb260
hex3ef4bee0

1056227040 has 480 divisors, whose sum is σ = 4215214080. Its totient is φ = 246758400.

The previous prime is 1056227021. The next prime is 1056227057. The reversal of 1056227040 is 407226501.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10562270402 = 2231231120054323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1056226995 and 1056227013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4419241 + ... + 4419479.

It is an arithmetic number, because the mean of its divisors is an integer number (8781696).

Almost surely, 21056227040 is an apocalyptic number.

1056227040 is a gapful number since it is divisible by the number (10) 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 1056227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107607040).

1056227040 is an abundant number, since it is smaller than the sum of its proper divisors (3158987040).

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

1056227040 is a wasteful number, since it uses less digits than its factorization.

1056227040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1056227040 is about 32499.6467673112. The cubic root of 1056227040 is about 1018.4016489239.

The spelling of 1056227040 in words is "one billion, fifty-six million, two hundred twenty-seven thousand, forty".