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13807024 = 2472111601
BaseRepresentation
bin110100101010…
…110110110000
3221222110200021
4310222312300
512013311044
61211533224
7225233500
oct64526660
927873607
1013807024
117880470
12475a214
132b2564a
141b95a00
15132ae84
hexd2adb0

13807024 has 60 divisors (see below), whose sum is σ = 33968808. Its totient is φ = 5376000.

The previous prime is 13807019. The next prime is 13807063. The reversal of 13807024 is 42070831.

13807024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13807024.

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, 7824 + ... + 9424.

Almost surely, 213807024 is an apocalyptic number.

13807024 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 13807024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16984404).

13807024 is an abundant number, since it is smaller than the sum of its proper divisors (20161784).

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

13807024 is a wasteful number, since it uses less digits than its factorization.

13807024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 13807024 is about 3715.7804025534. The cubic root of 13807024 is about 239.9017190183.

Adding to 13807024 its reverse (42070831), we get a palindrome (55877855).

The spelling of 13807024 in words is "thirteen million, eight hundred seven thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 1601 2156 3202 4312 6404 8624 11207 12808 17611 22414 25616 35222 44828 70444 78449 89656 123277 140888 156898 179312 246554 281776 313796 493108 627592 862939 986216 1255184 1725878 1972432 3451756 6903512 13807024