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14197260 = 22357211439
BaseRepresentation
bin110110001010…
…001000001100
3222201021222110
4312022020030
512113303020
61224144020
7231450300
oct66121014
928637873
1014197260
118017680
124908010
132c3115c
141c57d00
1513a68e0
hexd8a20c

14197260 has 144 divisors (see below), whose sum is σ = 50561280. Its totient is φ = 2943360.

The previous prime is 14197219. The next prime is 14197277. The reversal of 14197260 is 6279141.

14197260 = T1 + T2 + ... + T439.

It is a happy number.

14197260 is a nontrivial binomial coefficient, being equal to C(441, 3).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is the 439-th tetrahedral number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32121 + ... + 32559.

It is an arithmetic number, because the mean of its divisors is an integer number (351120).

Almost surely, 214197260 is an apocalyptic number.

14197260 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 14197260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25280640).

14197260 is an abundant number, since it is smaller than the sum of its proper divisors (36364020).

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

14197260 is a wasteful number, since it uses less digits than its factorization.

14197260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 14197260 is about 3767.9251584924. The cubic root of 14197260 is about 242.1409146749.

The spelling of 14197260 in words is "fourteen million, one hundred ninety-seven thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 439 462 490 539 588 660 735 770 878 924 980 1078 1155 1317 1470 1540 1617 1756 2156 2195 2310 2634 2695 2940 3073 3234 4390 4620 4829 5268 5390 6146 6468 6585 8085 8780 9219 9658 10780 12292 13170 14487 15365 16170 18438 19316 21511 24145 26340 28974 30730 32340 33803 36876 43022 46095 48290 57948 61460 64533 67606 72435 86044 92190 96580 101409 107555 129066 135212 144870 169015 184380 202818 215110 236621 258132 289740 322665 338030 405636 430220 473242 507045 645330 676060 709863 946484 1014090 1183105 1290660 1419726 2028180 2366210 2839452 3549315 4732420 7098630 14197260