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13841400 = 23352172359
BaseRepresentation
bin110100110011…
…001111111000
3222001012211110
4310303033320
512020411100
61212400320
7225435636
oct64631770
928035743
1013841400
1178a4281
1247760a0
132b381a1
141ba4356
151336250
hexd333f8

13841400 has 192 divisors, whose sum is σ = 48211200. Its totient is φ = 3266560.

The previous prime is 13841393. The next prime is 13841411. The reversal of 13841400 is 414831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234571 + ... + 234629.

It is an arithmetic number, because the mean of its divisors is an integer number (251100).

Almost surely, 213841400 is an apocalyptic number.

13841400 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 13841400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105600).

13841400 is an abundant number, since it is smaller than the sum of its proper divisors (34369800).

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

13841400 is a wasteful number, since it uses less digits than its factorization.

13841400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 13841400 is about 3720.4032039552. The cubic root of 13841400 is about 240.1006522266.

It can be divided in two parts, 13841 and 400, that added together give a palindrome (14241).

The spelling of 13841400 in words is "thirteen million, eight hundred forty-one thousand, four hundred".