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14385420 = 2232573233
BaseRepresentation
bin110110111000…
…000100001100
31000001212002100
4312320010030
512140313140
61232155100
7233163000
oct66700414
930055070
1014385420
118135a85
124998a90
132c989aa
141ca6700
1513e2530
hexdb810c

14385420 has 144 divisors (see below), whose sum is σ = 51105600. Its totient is φ = 3273984.

The previous prime is 14385409. The next prime is 14385443. The reversal of 14385420 is 2458341.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61624 + ... + 61856.

It is an arithmetic number, because the mean of its divisors is an integer number (354900).

Almost surely, 214385420 is an apocalyptic number.

14385420 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 14385420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25552800).

14385420 is an abundant number, since it is smaller than the sum of its proper divisors (36720180).

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

14385420 is a wasteful number, since it uses less digits than its factorization.

14385420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 14385420 is about 3792.8116220029. The cubic root of 14385420 is about 243.2059423684.

The spelling of 14385420 in words is "fourteen million, three hundred eighty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 233 245 252 294 315 343 420 441 466 490 588 630 686 699 735 882 932 980 1029 1165 1260 1372 1398 1470 1631 1715 1764 2058 2097 2205 2330 2796 2940 3087 3262 3430 3495 4116 4194 4410 4660 4893 5145 6174 6524 6860 6990 8155 8388 8820 9786 10290 10485 11417 12348 13980 14679 15435 16310 19572 20580 20970 22834 24465 29358 30870 32620 34251 41940 45668 48930 57085 58716 61740 68502 73395 79919 97860 102753 114170 137004 146790 159838 171255 205506 228340 239757 293580 319676 342510 399595 411012 479514 513765 685020 719271 799190 959028 1027530 1198785 1438542 1598380 2055060 2397570 2877084 3596355 4795140 7192710 14385420