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10638441 = 321129769
BaseRepresentation
bin101000100101…
…010001101001
3202000111012100
4220211101221
510210412231
61020004013
7156265602
oct50452151
922014170
1010638441
116006900
123690609
132286348
1415acda9
15e021e6
hexa25469

10638441 has 18 divisors (see below), whose sum is σ = 16892330. Its totient is φ = 6446880.

The previous prime is 10638421. The next prime is 10638457. The reversal of 10638441 is 14483601.

It can be written as a sum of positive squares in only one way, i.e., 8433216 + 2205225 = 2904^2 + 1485^2 .

It is not a de Polignac number, because 10638441 - 211 = 10636393 is a prime.

It is a super-2 number, since 2×106384412 = 226352853820962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10638421) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3796 + ... + 5973.

Almost surely, 210638441 is an apocalyptic number.

10638441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10638441 is a deficient number, since it is larger than the sum of its proper divisors (6253889).

10638441 is a wasteful number, since it uses less digits than its factorization.

10638441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9797 (or 9783 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10638441 is about 3261.6623062481. The cubic root of 10638441 is about 219.9341469567.

The spelling of 10638441 in words is "ten million, six hundred thirty-eight thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 9769 29307 87921 107459 322377 967131 1182049 3546147 10638441