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1071061368 = 2331341101829
BaseRepresentation
bin111111110101110…
…001100101111000
32202122101112222120
4333311301211320
54143142430433
6254140321240
735353604616
oct7765614570
92678345876
101071061368
114aa64a293
1225a843220
13140b8ab30
14a23686b6
156406b7b3
hex3fd71978

1071061368 has 128 divisors (see below), whose sum is σ = 2986804800. Its totient is φ = 317952000.

The previous prime is 1071061351. The next prime is 1071061391. The reversal of 1071061368 is 8631601701.

It is a super-2 number, since 2×10710613682 = 2294344908044062848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1291578 + ... + 1292406.

Almost surely, 21071061368 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 1071061368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493402400).

1071061368 is an abundant number, since it is smaller than the sum of its proper divisors (1915743432).

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

1071061368 is a wasteful number, since it uses less digits than its factorization.

1071061368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1071061368 is about 32727.0739296992. The cubic root of 1071061368 is about 1023.1471959534.

The spelling of 1071061368 in words is "one billion, seventy-one million, sixty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 101 104 123 156 164 202 246 303 312 328 404 492 533 606 808 829 984 1066 1212 1313 1599 1658 2132 2424 2487 2626 3198 3316 3939 4141 4264 4974 5252 6396 6632 7878 8282 9948 10504 10777 12423 12792 15756 16564 19896 21554 24846 31512 32331 33128 33989 43108 49692 53833 64662 67978 83729 86216 99384 101967 107666 129324 135956 161499 167458 203934 215332 251187 258648 271912 322998 334916 407868 430664 441857 502374 645996 669832 815736 883714 1004748 1088477 1291992 1325571 1767428 2009496 2176954 2651142 3265431 3432889 3534856 4353908 5302284 6530862 6865778 8707816 10298667 10604568 13061724 13731556 20597334 26123448 27463112 41194668 44627557 82389336 89255114 133882671 178510228 267765342 357020456 535530684 1071061368