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13829740 = 225798753
BaseRepresentation
bin110100110000…
…011001101100
3222000121211121
4310300121230
512020022430
61212230324
7225356641
oct64603154
928017747
1013829740
117896541
12476b3a4
132b32aa2
141b9ddc8
151332a7a
hexd3066c

13829740 has 24 divisors (see below), whose sum is σ = 29413440. Its totient is φ = 5461248.

The previous prime is 13829713. The next prime is 13829741. The reversal of 13829740 is 4792831.

It is a junction number, because it is equal to n+sod(n) for n = 13829696 and 13829705.

It is not an unprimeable number, because it can be changed into a prime (13829741) 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 7 ways as a sum of consecutive naturals, for example, 2797 + ... + 5956.

It is an arithmetic number, because the mean of its divisors is an integer number (1225560).

Almost surely, 213829740 is an apocalyptic number.

13829740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13829740 is an abundant number, since it is smaller than the sum of its proper divisors (15583700).

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

13829740 is a wasteful number, since it uses less digits than its factorization.

13829740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8841 (or 8839 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 13829740 is about 3718.8358393454. The cubic root of 13829740 is about 240.0332129961.

The spelling of 13829740 in words is "thirteen million, eight hundred twenty-nine thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 79 158 316 395 790 1580 8753 17506 35012 43765 87530 175060 691487 1382974 2765948 3457435 6914870 13829740