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1083675680 = 25531435081
BaseRepresentation
bin100000010010111…
…1001010000100000
32210112010102120022
41000211321100200
54204410110210
6255310533012
735566043213
oct10045712040
92715112508
101083675680
1150678563a
12262b07168
13143686619
14a3ccd77a
156520e155
hex40979420

1083675680 has 96 divisors (see below), whose sum is σ = 2704762368. Its totient is φ = 409651200.

The previous prime is 1083675679. The next prime is 1083675707. The reversal of 1083675680 is 865763801.

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, 210740 + ... + 215820.

It is an arithmetic number, because the mean of its divisors is an integer number (28174608).

Almost surely, 21083675680 is an apocalyptic number.

1083675680 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 1083675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352381184).

1083675680 is an abundant number, since it is smaller than the sum of its proper divisors (1621086688).

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

1083675680 is a wasteful number, since it uses less digits than its factorization.

1083675680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 1083675680 is about 32919.2296386170. The cubic root of 1083675680 is about 1027.1481989936.

The spelling of 1083675680 in words is "one billion, eighty-three million, six hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 43 62 80 86 124 155 160 172 215 248 310 344 430 496 620 688 860 992 1240 1333 1376 1720 2480 2666 3440 4960 5081 5332 6665 6880 10162 10664 13330 20324 21328 25405 26660 40648 42656 50810 53320 81296 101620 106640 157511 162592 203240 213280 218483 315022 406480 436966 630044 787555 812960 873932 1092415 1260088 1575110 1747864 2184830 2520176 3150220 3495728 4369660 5040352 6300440 6772973 6991456 8739320 12600880 13545946 17478640 25201760 27091892 33864865 34957280 54183784 67729730 108367568 135459460 216735136 270918920 541837840 1083675680