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13868340 = 2235376247
BaseRepresentation
bin110100111001…
…110100110100
3222002120210020
4310321310310
512022241330
61213125140
7225610323
oct64716464
928076706
1013868340
117912542
1247897b0
132b47525
141bb00ba
15133e210
hexd39d34

13868340 has 48 divisors (see below), whose sum is σ = 39887232. Its totient is φ = 3597696.

The previous prime is 13868339. The next prime is 13868353. The reversal of 13868340 is 4386831.

It is a congruent number.

It is an unprimeable number.

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, 904 + ... + 5343.

It is an arithmetic number, because the mean of its divisors is an integer number (830984).

Almost surely, 213868340 is an apocalyptic number.

13868340 is a gapful number since it is divisible by the number (10) 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 13868340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19943616).

13868340 is an abundant number, since it is smaller than the sum of its proper divisors (26018892).

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

13868340 is a wasteful number, since it uses less digits than its factorization.

13868340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 13868340 is about 3724.0220192690. The cubic root of 13868340 is about 240.2563233678.

The spelling of 13868340 in words is "thirteen million, eight hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 6247 12494 18741 24988 31235 37482 62470 74964 93705 124940 187410 231139 374820 462278 693417 924556 1155695 1386834 2311390 2773668 3467085 4622780 6934170 13868340