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13802805 = 345173197
BaseRepresentation
bin110100101001…
…110100110101
3221222020220000
4310221310311
512013142210
61211501513
7225215262
oct64516465
927866800
1013802805
117878285
124757899
132b23753
141b94269
151329ac0
hexd29d35

13802805 has 40 divisors (see below), whose sum is σ = 25012152. Its totient is φ = 7281792.

The previous prime is 13802791. The next prime is 13802807. The reversal of 13802805 is 50820831.

It is a happy number.

13802805 is a `hidden beast` number, since 1 + 380 + 280 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8242641 + 5560164 = 2871^2 + 2358^2 .

It is not a de Polignac number, because 13802805 - 29 = 13802293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13802807) 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 39 ways as a sum of consecutive naturals, for example, 69967 + ... + 70163.

Almost surely, 213802805 is an apocalyptic number.

13802805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13802805 is a deficient number, since it is larger than the sum of its proper divisors (11209347).

13802805 is a wasteful number, since it uses less digits than its factorization.

13802805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 13802805 is about 3715.2126453273. The cubic root of 13802805 is about 239.8772810109.

The spelling of 13802805 in words is "thirteen million, eight hundred two thousand, eight hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 173 197 405 519 591 865 985 1557 1773 2595 2955 4671 5319 7785 8865 14013 15957 23355 26595 34081 70065 79785 102243 170405 306729 511215 920187 1533645 2760561 4600935 13802805