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10681983 = 331322341
BaseRepresentation
bin101000101111…
…111001111111
3202002200221000
4220233321333
510213310413
61020541343
7156536544
oct50577177
922080830
1010681983
116036594
1236b1853
1322a0100
1415c0bcb
15e10073
hexa2fe7f

10681983 has 24 divisors (see below), whose sum is σ = 17143440. Its totient is φ = 6570720.

The previous prime is 10681973. The next prime is 10681987. The reversal of 10681983 is 38918601.

It is not a de Polignac number, because 10681983 - 26 = 10681919 is a prime.

It is a super-2 number, since 2×106819832 = 228209521624578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3393 + ... + 5733.

It is an arithmetic number, because the mean of its divisors is an integer number (714310).

Almost surely, 210681983 is an apocalyptic number.

10681983 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10681983 is a deficient number, since it is larger than the sum of its proper divisors (6461457).

10681983 is a wasteful number, since it uses less digits than its factorization.

10681983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 10681983 is about 3268.3303076648. The cubic root of 10681983 is about 220.2337941585.

It can be divided in two parts, 10681 and 983, that added together give a square (11664 = 1082).

The spelling of 10681983 in words is "ten million, six hundred eighty-one thousand, nine hundred eighty-three".

Divisors: 1 3 9 13 27 39 117 169 351 507 1521 2341 4563 7023 21069 30433 63207 91299 273897 395629 821691 1186887 3560661 10681983