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14201120 = 2551723227
BaseRepresentation
bin110110001011…
…000100100000
3222201111021102
4312023010200
512113413440
61224213532
7231464453
oct66130440
928644242
1014201120
11801a56a
12490a2a8
132c32b3b
141c5949a
1513a7b15
hexd8b120

14201120 has 96 divisors (see below), whose sum is σ = 37231488. Its totient is φ = 5091328.

The previous prime is 14201111. The next prime is 14201149. The reversal of 14201120 is 2110241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62447 + ... + 62673.

It is an arithmetic number, because the mean of its divisors is an integer number (387828).

Almost surely, 214201120 is an apocalyptic number.

14201120 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 14201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615744).

14201120 is an abundant number, since it is smaller than the sum of its proper divisors (23030368).

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

14201120 is a wasteful number, since it uses less digits than its factorization.

14201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 14201120 is about 3768.4373419230. The cubic root of 14201120 is about 242.1628573886.

Adding to 14201120 its reverse (2110241), we get a palindrome (16311361).

The spelling of 14201120 in words is "fourteen million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 40 46 68 80 85 92 115 136 160 170 184 227 230 272 340 368 391 454 460 544 680 736 782 908 920 1135 1360 1564 1816 1840 1955 2270 2720 3128 3632 3680 3859 3910 4540 5221 6256 7264 7718 7820 9080 10442 12512 15436 15640 18160 19295 20884 26105 30872 31280 36320 38590 41768 52210 61744 62560 77180 83536 88757 104420 123488 154360 167072 177514 208840 308720 355028 417680 443785 617440 710056 835360 887570 1420112 1775140 2840224 3550280 7100560 14201120