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10682441 = 721119819
BaseRepresentation
bin101000110000…
…000001001001
3202002201112222
4220300001021
510213314231
61020543425
7156541100
oct50600111
922081488
1010682441
116036970
1236b1b75
1322a0393
1415c1037
15e1027b
hexa30049

10682441 has 12 divisors (see below), whose sum is σ = 13556880. Its totient is φ = 8323560.

The previous prime is 10682429. The next prime is 10682471. The reversal of 10682441 is 14428601.

It is not a de Polignac number, because 10682441 - 210 = 10681417 is a prime.

It is a super-2 number, since 2×106824412 = 228229091436962, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10682441.

It is not an unprimeable number, because it can be changed into a prime (10682471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9371 + ... + 10448.

It is an arithmetic number, because the mean of its divisors is an integer number (1129740).

Almost surely, 210682441 is an apocalyptic number.

10682441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10682441 is a deficient number, since it is larger than the sum of its proper divisors (2874439).

10682441 is a wasteful number, since it uses less digits than its factorization.

10682441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19844 (or 19837 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 10682441 is about 3268.4003732713. The cubic root of 10682441 is about 220.2369416901.

The spelling of 10682441 in words is "ten million, six hundred eighty-two thousand, four hundred forty-one".

Divisors: 1 7 11 49 77 539 19819 138733 218009 971131 1526063 10682441