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10930944 = 28343331
BaseRepresentation
bin101001101100…
…101100000000
3202120100102210
4221230230000
510244242234
61030142120
7161624433
oct51545400
922510383
1010930944
116196642
1237b1940
13235951b
14164781a
15e5dbe9
hexa6cb00

10930944 has 72 divisors (see below), whose sum is σ = 29858752. Its totient is φ = 3548160.

The previous prime is 10930903. The next prime is 10930963. The reversal of 10930944 is 44903901.

It is a super-2 number, since 2×109309442 = 238971073462272, which contains 22 as substring.

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, 32859 + ... + 33189.

Almost surely, 210930944 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 10930944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929376).

10930944 is an abundant number, since it is smaller than the sum of its proper divisors (18927808).

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

10930944 is an equidigital number, since it uses as much as digits as its factorization.

10930944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 10930944 is about 3306.1978162233. The cubic root of 10930944 is about 221.9316403435.

The spelling of 10930944 in words is "ten million, nine hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 331 344 384 516 662 688 768 993 1032 1324 1376 1986 2064 2648 2752 3972 4128 5296 5504 7944 8256 10592 11008 14233 15888 16512 21184 28466 31776 33024 42368 42699 56932 63552 84736 85398 113864 127104 170796 227728 254208 341592 455456 683184 910912 1366368 1821824 2732736 3643648 5465472 10930944