Search a number
-
+
14274700 = 22521119683
BaseRepresentation
bin110110011101…
…000010001100
3222212020012121
4312131002030
512123242300
61225542324
7232222126
oct66350214
928766177
1014274700
11806a880
1249449a4
132c5a48b
141c78216
1513be81a
hexd9d08c

14274700 has 72 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 4910400.

The previous prime is 14274691. The next prime is 14274707. The reversal of 14274700 is 747241.

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

It is not an unprimeable number, because it can be changed into a prime (14274707) 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 23 ways as a sum of consecutive naturals, for example, 20559 + ... + 21241.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 214274700 is an apocalyptic number.

14274700 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 14274700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

14274700 is an abundant number, since it is smaller than the sum of its proper divisors (21348020).

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

14274700 is a wasteful number, since it uses less digits than its factorization.

14274700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 14274700 is about 3778.1873960935. The cubic root of 14274700 is about 242.5803751002.

The spelling of 14274700 in words is "fourteen million, two hundred seventy-four thousand, seven hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 683 836 950 1045 1100 1366 1900 2090 2732 3415 4180 5225 6830 7513 10450 12977 13660 15026 17075 20900 25954 30052 34150 37565 51908 64885 68300 75130 129770 142747 150260 187825 259540 285494 324425 375650 570988 648850 713735 751300 1297700 1427470 2854940 3568675 7137350 14274700