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10783968 = 253138641
BaseRepresentation
bin101001001000…
…110011100000
3202021212211020
4221020303200
510230041333
61023045440
7160443066
oct51106340
922255736
1010783968
1160a6178
123740880
132307660
14160a036
15e303b3
hexa48ce0

10783968 has 48 divisors (see below), whose sum is σ = 30488976. Its totient is φ = 3317760.

The previous prime is 10783957. The next prime is 10783973. The reversal of 10783968 is 86938701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3073 + ... + 5568.

It is an arithmetic number, because the mean of its divisors is an integer number (635187).

Almost surely, 210783968 is an apocalyptic number.

It is an amenable number.

10783968 is an abundant number, since it is smaller than the sum of its proper divisors (19705008).

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

10783968 is a wasteful number, since it uses less digits than its factorization.

10783968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8667 (or 8659 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 10783968 is about 3283.8952480248. The cubic root of 10783968 is about 220.9324609516.

The spelling of 10783968 in words is "ten million, seven hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 8641 17282 25923 34564 51846 69128 103692 112333 138256 207384 224666 276512 336999 414768 449332 673998 829536 898664 1347996 1797328 2695992 3594656 5391984 10783968