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14213364 = 22311294779
BaseRepresentation
bin110110001110…
…000011110100
3222202010001220
4312032003310
512114311424
61224350340
7231545244
oct66160364
928663056
1014213364
118028790
1249153b0
132c38599
141c5db24
1513ab579
hexd8e0f4

14213364 has 96 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 4018560.

The previous prime is 14213359. The next prime is 14213371. The reversal of 14213364 is 46331241.

14213364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179877 + ... + 179955.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

Almost surely, 214213364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14213364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

14213364 is an abundant number, since it is smaller than the sum of its proper divisors (24493836).

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

14213364 is a wasteful number, since it uses less digits than its factorization.

14213364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 171 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 14213364 is about 3770.0615379593. The cubic root of 14213364 is about 242.2324338327.

The spelling of 14213364 in words is "fourteen million, two hundred thirteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 47 58 66 79 87 94 116 132 141 158 174 188 237 282 316 319 348 474 517 564 638 869 948 957 1034 1276 1363 1551 1738 1914 2068 2291 2607 2726 3102 3476 3713 3828 4089 4582 5214 5452 6204 6873 7426 8178 9164 10428 11139 13746 14852 14993 16356 22278 25201 27492 29986 40843 44556 44979 50402 59972 75603 81686 89958 100804 107677 122529 151206 163372 179916 215354 245058 302412 323031 430708 490116 646062 1184447 1292124 2368894 3553341 4737788 7106682 14213364