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13746068 = 227343233
BaseRepresentation
bin110100011011…
…111110010100
3221212101001122
4310123332110
512004333233
61210343112
7224561000
oct64337624
927771048
1013746068
117839696
12472aa98
132b0398b
141b7b700
151317d98
hexd1bf94

13746068 has 48 divisors (see below), whose sum is σ = 28828800. Its totient is φ = 5729472.

The previous prime is 13746067. The next prime is 13746077. The reversal of 13746068 is 86064731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13746067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58880 + ... + 59112.

It is an arithmetic number, because the mean of its divisors is an integer number (600600).

Almost surely, 213746068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13746068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414400).

13746068 is an abundant number, since it is smaller than the sum of its proper divisors (15082732).

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

13746068 is a wasteful number, since it uses less digits than its factorization.

13746068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 13746068 is about 3707.5690148667. The cubic root of 13746068 is about 239.5481544786.

The spelling of 13746068 in words is "thirteen million, seven hundred forty-six thousand, sixty-eight".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 233 301 343 466 602 686 932 1204 1372 1631 2107 3262 4214 6524 8428 10019 11417 14749 20038 22834 29498 40076 45668 58996 70133 79919 140266 159838 280532 319676 490931 981862 1963724 3436517 6873034 13746068