Search a number
-
+
14835040 = 255118429
BaseRepresentation
bin111000100101…
…110101100000
31000220200211221
4320211311200
512244210130
61245544424
7240044563
oct70456540
930820757
1014835040
118412870
124b75114
1330c553c
141d824da
15148087a
hexe25d60

14835040 has 48 divisors (see below), whose sum is σ = 38238480. Its totient is φ = 5393920.

The previous prime is 14835031. The next prime is 14835047. The reversal of 14835040 is 4053841.

It is a junction number, because it is equal to n+sod(n) for n = 14834996 and 14835014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14835047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2455 + ... + 5974.

It is an arithmetic number, because the mean of its divisors is an integer number (796635).

Almost surely, 214835040 is an apocalyptic number.

14835040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14835040 is an abundant number, since it is smaller than the sum of its proper divisors (23403440).

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

14835040 is a wasteful number, since it uses less digits than its factorization.

14835040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8455 (or 8447 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 14835040 is about 3851.6282271268. The cubic root of 14835040 is about 245.7138144162.

Adding to 14835040 its reverse (4053841), we get a palindrome (18888881).

The spelling of 14835040 in words is "fourteen million, eight hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 8429 16858 33716 42145 67432 84290 92719 134864 168580 185438 269728 337160 370876 463595 674320 741752 927190 1348640 1483504 1854380 2967008 3708760 7417520 14835040