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1056363840 = 26325761859
BaseRepresentation
bin111110111101101…
…101010101000000
32201121201211202200
4332331231111000
54130412120330
6252453313200
735114641650
oct7675552500
92647654680
101056363840
114a2320874
12255935800
1313ab1307c
14a0420360
1562b16a60
hex3ef6d540

1056363840 has 336 divisors, whose sum is σ = 4225503360. Its totient is φ = 237219840.

The previous prime is 1056363821. The next prime is 1056363851. The reversal of 1056363840 is 483636501.

1056363840 is a `hidden beast` number, since 10 + 5 + 6 + 3 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10563638402 = 2231809124919091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1056363795 and 1056363804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1229331 + ... + 1230189.

Almost surely, 21056363840 is an apocalyptic number.

1056363840 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 1056363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112751680).

1056363840 is an abundant number, since it is smaller than the sum of its proper divisors (3169139520).

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

1056363840 is a wasteful number, since it uses less digits than its factorization.

1056363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1056363840 is about 32501.7513374280. The cubic root of 1056363840 is about 1018.4456140078.

The spelling of 1056363840 in words is "one billion, fifty-six million, three hundred sixty-three thousand, eight hundred forty".