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1047085056 = 21435263
BaseRepresentation
bin111110011010010…
…100000000000000
32200222021102200000
4332122110000000
54121023210211
6251522400000
734643035053
oct7632240000
92628242600
101047085056
11498063556
12252800000
13138c14874
149d0c6a9a
1561dd2656
hex3e694000

1047085056 has 180 divisors, whose sum is σ = 3148777632. Its totient is φ = 347701248.

The previous prime is 1047085043. The next prime is 1047085057. The reversal of 1047085056 is 6505807401.

It is a super-2 number, since 2×10470850562 = 2192774228997046272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1047085056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1047085057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3981181 + ... + 3981443.

Almost surely, 21047085056 is an apocalyptic number.

1047085056 is a gapful number since it is divisible by the number (16) 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 1047085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574388816).

1047085056 is an abundant number, since it is smaller than the sum of its proper divisors (2101692576).

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

1047085056 is an frugal number, since it uses more digits than its factorization.

1047085056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1047085056 is about 32358.6936695535. The cubic root of 1047085056 is about 1015.4549332103.

The spelling of 1047085056 in words is "one billion, forty-seven million, eighty-five thousand, fifty-six".