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13885938 = 2331197241
BaseRepresentation
bin110100111110…
…000111110010
3222010110221000
4310332013302
512023322223
61213342430
7226012533
oct64760762
928113830
1013885938
117924790
124797a16
132b52541
141bb668a
151344543
hexd3e1f2

13885938 has 64 divisors (see below), whose sum is σ = 34151040. Its totient is φ = 4147200.

The previous prime is 13885931. The next prime is 13885943. The reversal of 13885938 is 83958831.

Its product of digits (207360) is a multiple of the sum of its prime factors (360).

It is a junction number, because it is equal to n+sod(n) for n = 13885893 and 13885902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13885931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57498 + ... + 57738.

It is an arithmetic number, because the mean of its divisors is an integer number (533610).

Almost surely, 213885938 is an apocalyptic number.

13885938 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 13885938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075520).

13885938 is an abundant number, since it is smaller than the sum of its proper divisors (20265102).

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

13885938 is a wasteful number, since it uses less digits than its factorization.

13885938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 13885938 is about 3726.3840381796. The cubic root of 13885938 is about 240.3579035059.

The spelling of 13885938 in words is "thirteen million, eight hundred eighty-five thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 97 99 194 198 241 291 297 482 582 594 723 873 1067 1446 1746 2134 2169 2619 2651 3201 4338 5238 5302 6402 6507 7953 9603 13014 15906 19206 23377 23859 28809 46754 47718 57618 70131 71577 140262 143154 210393 257147 420786 514294 631179 771441 1262358 1542882 2314323 4628646 6942969 13885938