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14263040 = 285111013
BaseRepresentation
bin110110011010…
…001100000000
3222211122012202
4312122030000
512122404130
61225412332
7232143131
oct66321400
928748182
1014263040
118062040
12493a0a8
132c5508c
141c73c88
1513bb145
hexd9a300

14263040 has 72 divisors (see below), whose sum is σ = 37307088. Its totient is φ = 5181440.

The previous prime is 14263037. The next prime is 14263049. The reversal of 14263040 is 4036241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14263049) 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, 13574 + ... + 14586.

It is an arithmetic number, because the mean of its divisors is an integer number (518154).

Almost surely, 214263040 is an apocalyptic number.

14263040 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 14263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18653544).

14263040 is an abundant number, since it is smaller than the sum of its proper divisors (23044048).

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

14263040 is a wasteful number, since it uses less digits than its factorization.

14263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 14263040 is about 3776.6440128770. The cubic root of 14263040 is about 242.5143081507.

Adding to 14263040 its reverse (4036241), we get a palindrome (18299281).

It can be divided in two parts, 1426 and 3040, that multiplied together give a triangular number (4335040 = T2944).

The spelling of 14263040 in words is "fourteen million, two hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1013 1280 1408 1760 2026 2816 3520 4052 5065 7040 8104 10130 11143 14080 16208 20260 22286 32416 40520 44572 55715 64832 81040 89144 111430 129664 162080 178288 222860 259328 324160 356576 445720 648320 713152 891440 1296640 1426304 1782880 2852608 3565760 7131520 14263040