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13757044 = 227337271
BaseRepresentation
bin110100011110…
…101001110100
3221212221010011
4310132221310
512010211134
61210510004
7224635000
oct64365164
927787104
1013757044
117846964
124735304
132b08982
141b81700
15131b264
hexd1ea74

13757044 has 48 divisors (see below), whose sum is σ = 28940800. Its totient is φ = 5715360.

The previous prime is 13757039. The next prime is 13757047. The reversal of 13757044 is 44075731.

It is a junction number, because it is equal to n+sod(n) for n = 13756997 and 13757015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13757047) 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, 50629 + ... + 50899.

Almost surely, 213757044 is an apocalyptic number.

13757044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13757044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14470400).

13757044 is an abundant number, since it is smaller than the sum of its proper divisors (15183756).

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

13757044 is a wasteful number, since it uses less digits than its factorization.

13757044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 13757044 is about 3709.0489347001. The cubic root of 13757044 is about 239.6118958831.

The spelling of 13757044 in words is "thirteen million, seven hundred fifty-seven thousand, forty-four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 271 343 518 542 686 1036 1084 1372 1813 1897 3626 3794 7252 7588 10027 12691 13279 20054 25382 26558 40108 50764 53116 70189 92953 140378 185906 280756 371812 491323 982646 1965292 3439261 6878522 13757044