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14042240 = 27537593
BaseRepresentation
bin110101100100…
…010010000000
3222102102022222
4311210102000
512043322430
61220550212
7230233322
oct65442200
928372288
1014042240
117a21163
124852368
132ba8724
141c17612
1513759e5
hexd64480

14042240 has 64 divisors (see below), whose sum is σ = 34535160. Its totient is φ = 5455872.

The previous prime is 14042233. The next prime is 14042243. The reversal of 14042240 is 4224041.

It can be written as a sum of positive squares in 4 ways, for example, as 13601344 + 440896 = 3688^2 + 664^2 .

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

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (14042243) 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, 23384 + ... + 23976.

Almost surely, 214042240 is an apocalyptic number.

14042240 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 14042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17267580).

14042240 is an abundant number, since it is smaller than the sum of its proper divisors (20492920).

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

14042240 is an equidigital number, since it uses as much as digits as its factorization.

14042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 14042240 is about 3747.2976930049. The cubic root of 14042240 is about 241.2563744993.

Adding to 14042240 its reverse (4224041), we get a palindrome (18266281).

The spelling of 14042240 in words is "fourteen million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 370 592 593 640 740 1184 1186 1480 2368 2372 2960 2965 4736 4744 5920 5930 9488 11840 11860 18976 21941 23680 23720 37952 43882 47440 75904 87764 94880 109705 175528 189760 219410 351056 379520 438820 702112 877640 1404224 1755280 2808448 3510560 7021120 14042240