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13860224 = 27731499
BaseRepresentation
bin110100110111…
…110110000000
3222002011122122
4310313312000
512022011344
61213023412
7225544550
oct64676600
928064578
1013860224
117907434
124784b68
132b43921
141bab160
15133baee
hexd37d80

13860224 has 64 divisors (see below), whose sum is σ = 32640000. Its totient is φ = 5736960.

The previous prime is 13860211. The next prime is 13860227. The reversal of 13860224 is 42206831.

13860224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 13860193 and 13860202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13860227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27527 + ... + 28025.

It is an arithmetic number, because the mean of its divisors is an integer number (510000).

Almost surely, 213860224 is an apocalyptic number.

13860224 is a gapful number since it is divisible by the number (14) 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 13860224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16320000).

13860224 is an abundant number, since it is smaller than the sum of its proper divisors (18779776).

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

13860224 is an equidigital number, since it uses as much as digits as its factorization.

13860224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 13860224 is about 3722.9321777330. The cubic root of 13860224 is about 240.2094467933.

The spelling of 13860224 in words is "thirteen million, eight hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 499 868 896 992 998 1736 1984 1996 3472 3493 3968 3992 6944 6986 7984 13888 13972 15469 15968 27776 27944 30938 31936 55888 61876 63872 108283 111776 123752 216566 223552 247504 433132 447104 495008 866264 990016 1732528 1980032 3465056 6930112 13860224