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14449240 = 2351337751
BaseRepresentation
bin110111000111…
…101001011000
31000012002122001
4313013221120
512144333430
61233410344
7233550031
oct67075130
930162561
1014449240
118179a23
124a099b4
132cbba60
141cc1a88
1514063ca
hexdc7a58

14449240 has 64 divisors (see below), whose sum is σ = 36005760. Its totient is φ = 5184000.

The previous prime is 14449207. The next prime is 14449241. The reversal of 14449240 is 4294441.

It is a junction number, because it is equal to n+sod(n) for n = 14449199 and 14449208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14449241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18865 + ... + 19615.

It is an arithmetic number, because the mean of its divisors is an integer number (562590).

Almost surely, 214449240 is an apocalyptic number.

14449240 is a gapful number since it is divisible by the number (10) 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 14449240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18002880).

14449240 is an abundant number, since it is smaller than the sum of its proper divisors (21556520).

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

14449240 is a wasteful number, since it uses less digits than its factorization.

14449240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 14449240 is about 3801.2155950432. The cubic root of 14449240 is about 243.5650677052.

The spelling of 14449240 in words is "fourteen million, four hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 751 962 1480 1502 1924 2405 3004 3755 3848 4810 6008 7510 9620 9763 15020 19240 19526 27787 30040 39052 48815 55574 78104 97630 111148 138935 195260 222296 277870 361231 390520 555740 722462 1111480 1444924 1806155 2889848 3612310 7224620 14449240