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13742298 = 234412069
BaseRepresentation
bin110100011011…
…000011011010
3221212011220000
4310123003122
512004223143
61210313430
7224544003
oct64330332
927764800
1013742298
117836879
124728876
132b0204b
141b7a1aa
151316bd3
hexd1b0da

13742298 has 40 divisors (see below), whose sum is σ = 31559220. Its totient is φ = 4466880.

The previous prime is 13742297. The next prime is 13742347. The reversal of 13742298 is 89224731.

13742298 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10909809 + 2832489 = 3303^2 + 1683^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13742297) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5608 + ... + 7676.

Almost surely, 213742298 is an apocalyptic number.

13742298 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13742298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15779610).

13742298 is an abundant number, since it is smaller than the sum of its proper divisors (17816922).

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

13742298 is a wasteful number, since it uses less digits than its factorization.

13742298 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2115 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 13742298 is about 3707.0605606059. The cubic root of 13742298 is about 239.5262529643.

The spelling of 13742298 in words is "thirteen million, seven hundred forty-two thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2069 2214 3321 4138 6207 6642 12414 18621 37242 55863 84829 111726 167589 169658 254487 335178 508974 763461 1526922 2290383 4580766 6871149 13742298