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21148983 = 3223711439
BaseRepresentation
bin101000010101…
…1010100110111
31110210110221200
41100223110313
520403231413
62033143543
7344522562
oct120532467
943713850
1021148983
1110a355a9
1270babb3
1344c63bb
142b474d9
151ccb573
hex142b537

21148983 has 24 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 13287120.

The previous prime is 21148979. The next prime is 21149021. The reversal of 21148983 is 38984112.

It is not a de Polignac number, because 21148983 - 22 = 21148979 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (13824) is a multiple of the sum of its prime divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21148973) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13978 + ... + 15416.

It is an arithmetic number, because the mean of its divisors is an integer number (1347840).

Almost surely, 221148983 is an apocalyptic number.

21148983 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

21148983 is a deficient number, since it is larger than the sum of its proper divisors (11199177).

21148983 is a wasteful number, since it uses less digits than its factorization.

21148983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1536 counting only the distinct ones).

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

The square root of 21148983 is about 4598.8023440892. The cubic root of 21148983 is about 276.5433138275.

It can be divided in two parts, 211 and 48983, that added together give a palindrome (49194).

The spelling of 21148983 in words is "twenty-one million, one hundred forty-eight thousand, nine hundred eighty-three".

Divisors: 1 3 9 23 69 71 207 213 639 1439 1633 4317 4899 12951 14697 33097 99291 102169 297873 306507 919521 2349887 7049661 21148983