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13831290 = 2335114657
BaseRepresentation
bin110100110000…
…110001111010
3222000200222000
4310300301322
512020100130
61212241430
7225364314
oct64606172
928020860
1013831290
117897720
124770276
132b336c5
141ba07b4
151333260
hexd30c7a

13831290 has 64 divisors (see below), whose sum is σ = 40245120. Its totient is φ = 3352320.

The previous prime is 13831283. The next prime is 13831331. The reversal of 13831290 is 9213831.

13831290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 642 + ... + 5298.

It is an arithmetic number, because the mean of its divisors is an integer number (628830).

Almost surely, 213831290 is an apocalyptic number.

13831290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13831290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20122560).

13831290 is an abundant number, since it is smaller than the sum of its proper divisors (26413830).

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

13831290 is a wasteful number, since it uses less digits than its factorization.

13831290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4684 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13831290 is about 3719.0442320575. The cubic root of 13831290 is about 240.0421800864.

The spelling of 13831290 in words is "thirteen million, eight hundred thirty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 4657 9314 13971 23285 27942 41913 46570 51227 69855 83826 102454 125739 139710 153681 209565 251478 256135 307362 419130 461043 512270 628695 768405 922086 1257390 1383129 1536810 2305215 2766258 4610430 6915645 13831290