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13742694 = 2327293761
BaseRepresentation
bin110100011011…
…001001100110
3221212012102200
4310123021212
512004231234
61210315330
7224545110
oct64331146
927765380
1013742694
1178370a9
124728b46
132b02294
141b7a3b0
151316d99
hexd1b266

13742694 has 48 divisors (see below), whose sum is σ = 35212320. Its totient is φ = 3790080.

The previous prime is 13742657. The next prime is 13742699. The reversal of 13742694 is 49624731.

13742694 = T959 + T960 + ... + T987.

13742694 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13742699) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1774 + ... + 5534.

It is an arithmetic number, because the mean of its divisors is an integer number (733590).

Almost surely, 213742694 is an apocalyptic number.

13742694 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13742694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606160).

13742694 is an abundant number, since it is smaller than the sum of its proper divisors (21469626).

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

13742694 is a wasteful number, since it uses less digits than its factorization.

13742694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3802 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13742694 is about 3707.1139718115. The cubic root of 13742694 is about 239.5285536829.

The spelling of 13742694 in words is "thirteen million, seven hundred forty-two thousand, six hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 3761 7522 11283 22566 26327 33849 52654 67698 78981 109069 157962 218138 236943 327207 473886 654414 763483 981621 1526966 1963242 2290449 4580898 6871347 13742694