Search a number
-
+
10821993 = 37313809
BaseRepresentation
bin101001010010…
…000101101001
3202100210222120
4221102011221
510232300433
61023541453
7160662000
oct51220551
922323876
1010821993
1161217a6
12375a889
13231ba60
141619c37
15e3b7b3
hexa52169

10821993 has 32 divisors (see below), whose sum is σ = 18144000. Its totient is φ = 5701248.

The previous prime is 10821989. The next prime is 10821997. The reversal of 10821993 is 39912801.

It is an interprime number because it is at equal distance from previous prime (10821989) and next prime (10821997).

It is not a de Polignac number, because 10821993 - 22 = 10821989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10821997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12973 + ... + 13781.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 210821993 is an apocalyptic number.

10821993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10821993 is a deficient number, since it is larger than the sum of its proper divisors (7322007).

10821993 is an equidigital number, since it uses as much as digits as its factorization.

10821993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 10821993 is about 3289.6797716495. The cubic root of 10821993 is about 221.1918306015.

The spelling of 10821993 in words is "ten million, eight hundred twenty-one thousand, nine hundred ninety-three".

Divisors: 1 3 7 13 21 39 49 91 147 273 343 637 809 1029 1911 2427 4459 5663 10517 13377 16989 31551 39641 73619 118923 220857 277487 515333 832461 1545999 3607331 10821993