Search a number
-
+
14205780 = 223553779
BaseRepresentation
bin110110001100…
…001101010100
3222201201200000
4312030031110
512114041110
61224251300
7231514161
oct66141524
928651600
1014205780
118023016
124910b30
132c34cb4
141c5b068
1513a91c0
hexd8c354

14205780 has 144 divisors (see below), whose sum is σ = 46475520. Its totient is φ = 3639168.

The previous prime is 14205773. The next prime is 14205791. The reversal of 14205780 is 8750241.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 179781 + ... + 179859.

Almost surely, 214205780 is an apocalyptic number.

14205780 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 14205780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23237760).

14205780 is an abundant number, since it is smaller than the sum of its proper divisors (32269740).

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

14205780 is a wasteful number, since it uses less digits than its factorization.

14205780 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 2240, while the sum is 27.

The square root of 14205780 is about 3769.0555846259. The cubic root of 14205780 is about 242.1893425181.

The spelling of 14205780 in words is "fourteen million, two hundred five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 79 81 90 108 111 135 148 158 162 180 185 222 237 243 270 316 324 333 370 395 405 444 474 486 540 555 666 711 740 790 810 948 972 999 1110 1185 1215 1332 1422 1580 1620 1665 1998 2133 2220 2370 2430 2844 2923 2997 3330 3555 3996 4266 4740 4860 4995 5846 5994 6399 6660 7110 8532 8769 8991 9990 10665 11692 11988 12798 14220 14615 14985 17538 17982 19197 19980 21330 25596 26307 29230 29970 31995 35076 35964 38394 42660 43845 44955 52614 58460 59940 63990 76788 78921 87690 89910 95985 105228 127980 131535 157842 175380 179820 191970 236763 263070 315684 383940 394605 473526 526140 710289 789210 947052 1183815 1420578 1578420 2367630 2841156 3551445 4735260 7102890 14205780