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13781742 = 23131091621
BaseRepresentation
bin110100100100…
…101011101110
3221221011222220
4310210223232
512012003432
61211220210
7225100002
oct64445356
927834886
1013781742
117863477
124747666
132b16ca0
141b8a702
15132372c
hexd24aee

13781742 has 32 divisors (see below), whose sum is σ = 29974560. Its totient is φ = 4199040.

The previous prime is 13781741. The next prime is 13781759. The reversal of 13781742 is 24718731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13781741) 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 15 ways as a sum of consecutive naturals, for example, 7692 + ... + 9312.

It is an arithmetic number, because the mean of its divisors is an integer number (936705).

Almost surely, 213781742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13781742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14987280).

13781742 is an abundant number, since it is smaller than the sum of its proper divisors (16192818).

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

13781742 is a wasteful number, since it uses less digits than its factorization.

13781742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748.

The product of its digits is 9408, while the sum is 33.

The square root of 13781742 is about 3712.3768666449. The cubic root of 13781742 is about 239.7552017814.

The spelling of 13781742 in words is "thirteen million, seven hundred eighty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 109 218 327 654 1417 1621 2834 3242 4251 4863 8502 9726 21073 42146 63219 126438 176689 353378 530067 1060134 2296957 4593914 6890871 13781742