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1047085704 = 233474673
BaseRepresentation
bin111110011010010…
…100001010001000
32200222021110120000
4332122110022020
54121023220304
6251522403000
734643040000
oct7632241210
92628243500
101047085704
11498063a95
12252800460
13138c14c52
149d0c7000
1561dd2939
hex3e694288

1047085704 has 200 divisors, whose sum is σ = 3426491310. Its totient is φ = 298722816.

The previous prime is 1047085703. The next prime is 1047085771. The reversal of 1047085704 is 4075807401.

1047085704 is a `hidden beast` number, since 10 + 4 + 70 + 8 + 570 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 952956900 + 94128804 = 30870^2 + 9702^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1047085703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1555512 + ... + 1556184.

Almost surely, 21047085704 is an apocalyptic number.

1047085704 is a gapful number since it is divisible by the number (14) 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 1047085704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713245655).

1047085704 is an abundant number, since it is smaller than the sum of its proper divisors (2379405606).

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

1047085704 is an frugal number, since it uses more digits than its factorization.

1047085704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 1047085704 is about 32358.7036823171. The cubic root of 1047085704 is about 1015.4551426854.

The spelling of 1047085704 in words is "one billion, forty-seven million, eighty-five thousand, seven hundred four".