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1071130824 = 233323321283
BaseRepresentation
bin111111110110000…
…010100011001000
32202122112002021000
4333312002203020
54143202141244
6254142015000
735354314251
oct7766024310
92678462230
101071130824
114aa697495
1225a877460
13140bb362a
14a2385b28
1564082169
hex3fd828c8

1071130824 has 64 divisors (see below), whose sum is σ = 2988273600. Its totient is φ = 355494528.

The previous prime is 1071130813. The next prime is 1071130867. The reversal of 1071130824 is 4280311701.

1071130824 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 2×10711308242 = 2294642484245837952, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39687 + ... + 60969.

It is an arithmetic number, because the mean of its divisors is an integer number (46691775).

Almost surely, 21071130824 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 1071130824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494136800).

1071130824 is an abundant number, since it is smaller than the sum of its proper divisors (1917142776).

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

1071130824 is a wasteful number, since it uses less digits than its factorization.

1071130824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21531 (or 21521 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1071130824 is about 32728.1350522757. The cubic root of 1071130824 is about 1023.1693117654.

The spelling of 1071130824 in words is "one billion, seventy-one million, one hundred thirty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 233 466 699 932 1398 1864 2097 2796 4194 5592 6291 8388 12582 16776 21283 25164 42566 50328 63849 85132 127698 170264 191547 255396 383094 510792 574641 766188 1149282 1532376 2298564 4597128 4958939 9917878 14876817 19835756 29753634 39671512 44630451 59507268 89260902 119014536 133891353 178521804 267782706 357043608 535565412 1071130824