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5105997 = 34132373
BaseRepresentation
bin10011011110100101001101
3100121102010000
4103132211031
52301342442
6301234513
761254201
oct23364515
910542100
105105997
112978236
121862a39
13109a100
1496cb01
156acd4c
hex4de94d

5105997 has 30 divisors (see below), whose sum is σ = 8281482. Its totient is φ = 3133728.

The previous prime is 5105993. The next prime is 5105999. The reversal of 5105997 is 7995015.

It is a happy number.

5105997 is a `hidden beast` number, since 510 + 59 + 97 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2916 + 5103081 = 54^2 + 2259^2 .

It is not a de Polignac number, because 5105997 - 22 = 5105993 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105993) 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 29 ways as a sum of consecutive naturals, for example, 13503 + ... + 13875.

Almost surely, 25105997 is an apocalyptic number.

It is an amenable number.

5105997 is a deficient number, since it is larger than the sum of its proper divisors (3175485).

5105997 is a wasteful number, since it uses less digits than its factorization.

5105997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The square root of 5105997 is about 2259.6453261519. The cubic root of 5105997 is about 172.1975038791.

The spelling of 5105997 in words is "five million, one hundred five thousand, nine hundred ninety-seven".

Divisors: 1 3 9 13 27 39 81 117 169 351 373 507 1053 1119 1521 3357 4563 4849 10071 13689 14547 30213 43641 63037 130923 189111 392769 567333 1701999 5105997