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14371240 = 2351329953
BaseRepresentation
bin110110110100…
…100110101000
31000001010122011
4312310212220
512134334430
61232005304
7233103442
oct66644650
930033564
1014371240
118126364
124990834
132c923c0
141ca1492
1513dd22a
hexdb49a8

14371240 has 64 divisors (see below), whose sum is σ = 36061200. Its totient is φ = 5117952.

The previous prime is 14371177. The next prime is 14371241. The reversal of 14371240 is 4217341.

14371240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3175524 + 11195716 = 1782^2 + 3346^2 .

It is not an unprimeable number, because it can be changed into a prime (14371241) 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, 14604 + ... + 15556.

Almost surely, 214371240 is an apocalyptic number.

14371240 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 14371240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030600).

14371240 is an abundant number, since it is smaller than the sum of its proper divisors (21689960).

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

14371240 is a wasteful number, since it uses less digits than its factorization.

14371240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 14371240 is about 3790.9418354810. The cubic root of 14371240 is about 243.1260050888.

Adding to 14371240 its reverse (4217341), we get a palindrome (18588581).

The spelling of 14371240 in words is "fourteen million, three hundred seventy-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 953 1160 1508 1885 1906 3016 3770 3812 4765 7540 7624 9530 12389 15080 19060 24778 27637 38120 49556 55274 61945 99112 110548 123890 138185 221096 247780 276370 359281 495560 552740 718562 1105480 1437124 1796405 2874248 3592810 7185620 14371240