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14395024 = 24734361
BaseRepresentation
bin110110111010…
…011010010000
31000002100021001
4312322122100
512141120044
61232311344
7233233000
oct66723220
930070231
1014395024
118142216
1249a2554
132ca0187
141caa000
1513e52d4
hexdba690

14395024 has 80 divisors (see below), whose sum is σ = 33827200. Its totient is φ = 5927040.

The previous prime is 14395021. The next prime is 14395057. The reversal of 14395024 is 42059341.

14395024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14394983 and 14395001.

It is not an unprimeable number, because it can be changed into a prime (14395021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235954 + ... + 236014.

It is an arithmetic number, because the mean of its divisors is an integer number (422840).

Almost surely, 214395024 is an apocalyptic number.

14395024 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 14395024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16913600).

14395024 is an abundant number, since it is smaller than the sum of its proper divisors (19432176).

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

14395024 is an equidigital number, since it uses as much as digits as its factorization.

14395024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 14395024 is about 3794.0774899836. The cubic root of 14395024 is about 243.2600534119.

The spelling of 14395024 in words is "fourteen million, three hundred ninety-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 61 86 98 112 122 172 196 244 301 343 344 392 427 488 602 686 688 784 854 976 1204 1372 1708 2107 2408 2623 2744 2989 3416 4214 4816 5246 5488 5978 6832 8428 10492 11956 14749 16856 18361 20923 20984 23912 29498 33712 36722 41846 41968 47824 58996 73444 83692 117992 128527 146888 167384 235984 257054 293776 334768 514108 899689 1028216 1799378 2056432 3598756 7197512 14395024