Search a number
-
+
14263900 = 2252724171
BaseRepresentation
bin110110011010…
…011001011100
3222211200101121
4312122121130
512122421100
61225420324
7232145500
oct66323134
928750347
1014263900
118062752
12493a6a4
132c555a1
141c74300
1513bb51a
hexd9a65c

14263900 has 108 divisors (see below), whose sum is σ = 37403856. Its totient is φ = 4704000.

The previous prime is 14263891. The next prime is 14263903. The reversal of 14263900 is 936241.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14263903) 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 35 ways as a sum of consecutive naturals, for example, 200865 + ... + 200935.

It is an arithmetic number, because the mean of its divisors is an integer number (346332).

Almost surely, 214263900 is an apocalyptic number.

14263900 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 14263900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701928).

14263900 is an abundant number, since it is smaller than the sum of its proper divisors (23139956).

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

14263900 is a wasteful number, since it uses less digits than its factorization.

14263900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 14263900 is about 3776.7578688605. The cubic root of 14263900 is about 242.5191822428.

The spelling of 14263900 in words is "fourteen million, two hundred sixty-three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 49 50 70 71 82 98 100 140 142 164 175 196 205 245 284 287 350 355 410 490 497 574 700 710 820 980 994 1025 1148 1225 1420 1435 1775 1988 2009 2050 2450 2485 2870 2911 3479 3550 4018 4100 4900 4970 5740 5822 6958 7100 7175 8036 9940 10045 11644 12425 13916 14350 14555 17395 20090 20377 24850 28700 29110 34790 40180 40754 49700 50225 58220 69580 72775 81508 86975 100450 101885 142639 145550 173950 200900 203770 285278 291100 347900 407540 509425 570556 713195 1018850 1426390 2037700 2852780 3565975 7131950 14263900