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13860144 = 2432293319
BaseRepresentation
bin110100110111…
…110100110000
3222002011112200
4310313310300
512022011034
61213023200
7225544404
oct64676460
928064480
1013860144
117907371
124784b00
132b4388c
141bab104
15133ba99
hexd37d30

13860144 has 60 divisors (see below), whose sum is σ = 40138800. Its totient is φ = 4459392.

The previous prime is 13860137. The next prime is 13860157. The reversal of 13860144 is 44106831.

13860144 is a `hidden beast` number, since 13 + 8 + 601 + 44 = 666.

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 11 ways as a sum of consecutive naturals, for example, 2517 + ... + 5835.

It is an arithmetic number, because the mean of its divisors is an integer number (668980).

Almost surely, 213860144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13860144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20069400).

13860144 is an abundant number, since it is smaller than the sum of its proper divisors (26278656).

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

13860144 is a wasteful number, since it uses less digits than its factorization.

13860144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13860144 is about 3722.9214334982. The cubic root of 13860144 is about 240.2089846364.

Adding to 13860144 its reverse (44106831), we get a palindrome (57966975).

The spelling of 13860144 in words is "thirteen million, eight hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 3319 4176 6638 9957 13276 19914 26552 29871 39828 53104 59742 79656 96251 119484 159312 192502 238968 288753 385004 477936 577506 770008 866259 1155012 1540016 1732518 2310024 3465036 4620048 6930072 13860144