Search a number
-
+
10993344 = 263311847
BaseRepresentation
bin101001111011…
…111011000000
3202200112000220
4221323323000
510303241334
61031343040
7162304365
oct51737300
922615026
1010993344
11622950a
123821a80
13237ba4b
14166246c
15e72449
hexa7bec0

10993344 has 56 divisors (see below), whose sum is σ = 30041088. Its totient is φ = 3544320.

The previous prime is 10993331. The next prime is 10993351. The reversal of 10993344 is 44339901.

It is a super-2 number, since 2×109933442 = 241707224604672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5029 + ... + 6875.

It is an arithmetic number, because the mean of its divisors is an integer number (536448).

Almost surely, 210993344 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 10993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020544).

10993344 is an abundant number, since it is smaller than the sum of its proper divisors (19047744).

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

10993344 is a wasteful number, since it uses less digits than its factorization.

10993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 10993344 is about 3315.6212087631. The cubic root of 10993344 is about 222.3531430019.

The spelling of 10993344 in words is "ten million, nine hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1847 1984 2976 3694 5541 5952 7388 11082 14776 22164 29552 44328 57257 59104 88656 114514 118208 171771 177312 229028 343542 354624 458056 687084 916112 1374168 1832224 2748336 3664448 5496672 10993344