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1071800856 = 233373072309
BaseRepresentation
bin111111111000100…
…110001000011000
32202200210010101000
4333320212020120
54143340111411
6254204225000
735363104560
oct7770461030
92680703330
101071800856
11500004935
1225ab3b160
131410895b9
14a24bbda0
1564165956
hex3fe26218

1071800856 has 128 divisors (see below), whose sum is σ = 3415104000. Its totient is φ = 305099136.

The previous prime is 1071800797. The next prime is 1071800861. The reversal of 1071800856 is 6580081701.

1071800856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10718008562 = 2297514149844665472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 1071800856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463030 + ... + 465338.

It is an arithmetic number, because the mean of its divisors is an integer number (26680500).

Almost surely, 21071800856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071800856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707552000).

1071800856 is an abundant number, since it is smaller than the sum of its proper divisors (2343303144).

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

1071800856 is a wasteful number, since it uses less digits than its factorization.

1071800856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1071800856 is about 32738.3697822601. The cubic root of 1071800856 is about 1023.3826107288.

The spelling of 1071800856 in words is "one billion, seventy-one million, eight hundred thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 307 378 504 614 756 921 1228 1512 1842 2149 2309 2456 2763 3684 4298 4618 5526 6447 6927 7368 8289 8596 9236 11052 12894 13854 16163 16578 17192 18472 19341 20781 22104 25788 27708 32326 33156 38682 41562 48489 51576 55416 58023 62343 64652 66312 77364 83124 96978 116046 124686 129304 145467 154728 166248 193956 232092 249372 290934 387912 436401 464184 498744 581868 708863 872802 1163736 1417726 1745604 2126589 2835452 3491208 4253178 4962041 5670904 6379767 8506356 9924082 12759534 14886123 17012712 19139301 19848164 25519068 29772246 38278602 39696328 44658369 51038136 59544492 76557204 89316738 119088984 133975107 153114408 178633476 267950214 357266952 535900428 1071800856