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1083212928 = 27327134327
BaseRepresentation
bin100000010010000…
…1000010010000000
32210111020220210100
41000210020102000
54204300303203
6255253002400
735562105120
oct10044102200
92714226710
101083212928
115064999a6
12262923400
13143553ac5
14a3c0cc80
156516bea3
hex40908480

1083212928 has 96 divisors (see below), whose sum is σ = 3562378560. Its totient is φ = 309487104.

The previous prime is 1083212917. The next prime is 1083212941. The reversal of 1083212928 is 8292123801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1083212892 and 1083212901.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59100 + ... + 75227.

It is an arithmetic number, because the mean of its divisors is an integer number (37108110).

Almost surely, 21083212928 is an apocalyptic number.

1083212928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1083212928 is an abundant number, since it is smaller than the sum of its proper divisors (2479165632).

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

1083212928 is a wasteful number, since it uses less digits than its factorization.

1083212928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134354 (or 134339 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1083212928 is about 32912.2002910775. The cubic root of 1083212928 is about 1027.0019736469.

The spelling of 1083212928 in words is "one billion, eighty-three million, two hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 134327 268654 402981 537308 805962 940289 1074616 1208943 1611924 1880578 2149232 2417886 2820867 3223848 3761156 4298464 4835772 5641734 6447696 7522312 8462601 8596928 9671544 11283468 12895392 15044624 16925202 17193856 19343088 22566936 25790784 30089248 33850404 38686176 45133872 51581568 60178496 67700808 77372352 90267744 120356992 135401616 154744704 180535488 270803232 361070976 541606464 1083212928