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1056222720 = 2933573759
BaseRepresentation
bin111110111101001…
…010111000000000
32201121110200012000
4332331022320000
54130343111340
6252450304000
735113513350
oct7675127000
92647420160
101056222720
114a2234843
12255888000
1313aa93a77
14a03c4b60
1562ad9d30
hex3ef4ae00

1056222720 has 640 divisors, whose sum is σ = 4478284800. Its totient is φ = 230916096.

The previous prime is 1056222703. The next prime is 1056222737. The reversal of 1056222720 is 272226501.

1056222720 is a `hidden beast` number, since 10 + 5 + 622 + 2 + 7 + 20 = 666.

1056222720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1056222703) and next prime (1056222737).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×10562227202 = 2231212868488396800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17902051 + ... + 17902109.

It is an arithmetic number, because the mean of its divisors is an integer number (6997320).

Almost surely, 21056222720 is an apocalyptic number.

1056222720 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 1056222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239142400).

1056222720 is an abundant number, since it is smaller than the sum of its proper divisors (3422062080).

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

1056222720 is an equidigital number, since it uses as much as digits as its factorization.

1056222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

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

The square root of 1056222720 is about 32499.5803049824. The cubic root of 1056222720 is about 1018.4002604910.

The spelling of 1056222720 in words is "one billion, fifty-six million, two hundred twenty-two thousand, seven hundred twenty".