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1083960384 = 263133114009
BaseRepresentation
bin100000010011011…
…1110110001000000
32210112122220002220
41000212332301000
54204443213014
6255321011040
735601340233
oct10046766100
92715586086
101083960384
1150695a531
12263023a80
131437560a0
14a3d6541a
15652686a9
hex409bec40

1083960384 has 112 divisors (see below), whose sum is σ = 3188451840. Its totient is φ = 322744320.

The previous prime is 1083960379. The next prime is 1083960403. The reversal of 1083960384 is 4830693801.

It is a happy number.

It is a super-2 number, since 2×10839603842 = 2349940228162854912, which contains 22 as substring.

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, 70372 + ... + 84380.

It is an arithmetic number, because the mean of its divisors is an integer number (28468320).

Almost surely, 21083960384 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 1083960384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594225920).

1083960384 is an abundant number, since it is smaller than the sum of its proper divisors (2104491456).

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

1083960384 is a wasteful number, since it uses less digits than its factorization.

1083960384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14068 (or 14058 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1083960384 is about 32923.5536356573. The cubic root of 1083960384 is about 1027.2381421382.

The spelling of 1083960384 in words is "one billion, eighty-three million, nine hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1984 2418 2496 2976 3224 4836 5952 6448 9672 12896 14009 19344 25792 28018 38688 42027 56036 77376 84054 112072 168108 182117 224144 336216 364234 434279 448288 546351 672432 728468 868558 896576 1092702 1302837 1344864 1456936 1737116 2185404 2605674 2689728 2913872 3474232 4370808 5211348 5645627 5827744 6948464 8741616 10422696 11291254 11655488 13896928 16936881 17483232 20845392 22582508 27793856 33873762 34966464 41690784 45165016 67747524 83381568 90330032 135495048 180660064 270990096 361320128 541980192 1083960384