Search a number
-
+
14274900 = 22335217311
BaseRepresentation
bin110110011101…
…000101010100
3222212020111000
4312131011110
512123244100
61225543300
7232222533
oct66350524
928766430
1014274900
11806aa42
124944b30
132c5a5b3
141c7831a
1513be900
hexd9d154

14274900 has 144 divisors (see below), whose sum is σ = 48746880. Its totient is φ = 3571200.

The previous prime is 14274889. The next prime is 14274901. The reversal of 14274900 is 947241.

It is a happy number.

14274900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14274901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45745 + ... + 46055.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 214274900 is an apocalyptic number.

14274900 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 14274900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

14274900 is an abundant number, since it is smaller than the sum of its proper divisors (34471980).

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

14274900 is a wasteful number, since it uses less digits than its factorization.

14274900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 14274900 is about 3778.2138637192. The cubic root of 14274900 is about 242.5815080102.

The spelling of 14274900 in words is "fourteen million, two hundred seventy-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 135 150 153 170 180 204 225 255 270 300 306 311 340 425 450 459 510 540 612 622 675 765 850 900 918 933 1020 1244 1275 1350 1530 1555 1700 1836 1866 2295 2550 2700 2799 3060 3110 3732 3825 4590 4665 5100 5287 5598 6220 7650 7775 8397 9180 9330 10574 11196 11475 13995 15300 15550 15861 16794 18660 21148 22950 23325 26435 27990 31100 31722 33588 41985 45900 46650 47583 52870 55980 63444 69975 79305 83970 93300 95166 105740 132175 139950 142749 158610 167940 190332 209925 237915 264350 279900 285498 317220 396525 419850 475830 528700 570996 713745 793050 839700 951660 1189575 1427490 1586100 2379150 2854980 3568725 4758300 7137450 14274900