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13869936 = 2432611579
BaseRepresentation
bin110100111010…
…001101110000
3222002122222100
4310322031300
512022314221
61213140400
7225615063
oct64721560
928078870
1013869936
117913763
12478a700
132b48182
141bb08da
15133e926
hexd3a370

13869936 has 60 divisors (see below), whose sum is σ = 39477880. Its totient is φ = 4544640.

The previous prime is 13869913. The next prime is 13869949. The reversal of 13869936 is 63996831.

13869936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13869891 and 13869900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7995 + ... + 9573.

Almost surely, 213869936 is an apocalyptic number.

13869936 is a gapful number since it is divisible by the number (16) 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 13869936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19738940).

13869936 is an abundant number, since it is smaller than the sum of its proper divisors (25607944).

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

13869936 is a wasteful number, since it uses less digits than its factorization.

13869936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1645 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 13869936 is about 3724.2362975515. The cubic root of 13869936 is about 240.2655394284.

The spelling of 13869936 in words is "thirteen million, eight hundred sixty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 1579 2196 2928 3158 4392 4737 6316 8784 9474 12632 14211 18948 25264 28422 37896 56844 75792 96319 113688 192638 227376 288957 385276 577914 770552 866871 1155828 1541104 1733742 2311656 3467484 4623312 6934968 13869936