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13820744 = 237235257
BaseRepresentation
bin110100101110…
…001101001000
3222000011111102
4310232031020
512014230434
61212120532
7225321500
oct64561510
928004442
1013820744
11788a803
124766148
132b2b972
141b9aa00
15133007e
hexd2e348

13820744 has 24 divisors (see below), whose sum is σ = 30145590. Its totient is φ = 5923008.

The previous prime is 13820743. The next prime is 13820747. The reversal of 13820744 is 44702831.

It can be written as a sum of positive squares in only one way, i.e., 13764100 + 56644 = 3710^2 + 238^2 .

It is not an unprimeable number, because it can be changed into a prime (13820743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17237 + ... + 18020.

Almost surely, 213820744 is an apocalyptic number.

13820744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13820744 is an abundant number, since it is smaller than the sum of its proper divisors (16324846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13820744 is a wasteful number, since it uses less digits than its factorization.

13820744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35277 (or 35266 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 13820744 is about 3717.6261242895. The cubic root of 13820744 is about 239.9811559279.

The spelling of 13820744 in words is "thirteen million, eight hundred twenty thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 35257 70514 141028 246799 282056 493598 987196 1727593 1974392 3455186 6910372 13820744