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1083937380 = 2235591272411
BaseRepresentation
bin100000010011011…
…1001001001100100
32210112121201112220
41000212321021210
54204441444010
6255320312340
735601213201
oct10046711144
92715551486
101083937380
11506944219
122630126b0
13143748786
14a3d5aca8
1565261970
hex409b9264

1083937380 has 96 divisors (see below), whose sum is σ = 3112058880. Its totient is φ = 281796480.

The previous prime is 1083937367. The next prime is 1083937411. The reversal of 1083937380 is 837393801.

It is a super-2 number, since 2×10839373802 = 2349840487522528800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 448375 + ... + 450785.

It is an arithmetic number, because the mean of its divisors is an integer number (32417280).

Almost surely, 21083937380 is an apocalyptic number.

1083937380 is a gapful number since it is divisible by the number (10) 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 1083937380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556029440).

1083937380 is an abundant number, since it is smaller than the sum of its proper divisors (2028121500).

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

1083937380 is a wasteful number, since it uses less digits than its factorization.

1083937380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1083937380 is about 32923.2042790491. The cubic root of 1083937380 is about 1027.2308753433.

The spelling of 1083937380 in words is "one billion, eighty-three million, nine hundred thirty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 127 177 236 254 295 354 381 508 590 635 708 762 885 1180 1270 1524 1770 1905 2411 2540 3540 3810 4822 7233 7493 7620 9644 12055 14466 14986 22479 24110 28932 29972 36165 37465 44958 48220 72330 74930 89916 112395 142249 144660 149860 224790 284498 306197 426747 449580 568996 612394 711245 853494 918591 1224788 1422490 1530985 1706988 1837182 2133735 2844980 3061970 3674364 4267470 4592955 6123940 8534940 9185910 18065623 18371820 36131246 54196869 72262492 90328115 108393738 180656230 216787476 270984345 361312460 541968690 1083937380