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14133210 = 23571331167
BaseRepresentation
bin110101111010…
…011111011010
3222121001010020
4311322133122
512104230320
61222531310
7231062460
oct65723732
928531106
1014133210
117a83543
124896b36
132c0ac60
141c3c830
151392940
hexd7a7da

14133210 has 128 divisors (see below), whose sum is σ = 43352064. Its totient is φ = 2868480.

The previous prime is 14133209. The next prime is 14133211. The reversal of 14133210 is 1233141.

It is an interprime number because it is at equal distance from previous prime (14133209) and next prime (14133211).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14133210.

It is not an unprimeable number, because it can be changed into a prime (14133211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84547 + ... + 84713.

It is an arithmetic number, because the mean of its divisors is an integer number (338688).

Almost surely, 214133210 is an apocalyptic number.

14133210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14133210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21676032).

14133210 is an abundant number, since it is smaller than the sum of its proper divisors (29218854).

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

14133210 is a wasteful number, since it uses less digits than its factorization.

14133210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 14133210 is about 3759.4161780787. The cubic root of 14133210 is about 241.7762314657.

Adding to 14133210 its reverse (1233141), we get a palindrome (15366351).

The spelling of 14133210 in words is "fourteen million, one hundred thirty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 31 35 39 42 62 65 70 78 91 93 105 130 155 167 182 186 195 210 217 273 310 334 390 403 434 455 465 501 546 651 806 835 910 930 1002 1085 1169 1209 1302 1365 1670 2015 2170 2171 2338 2418 2505 2730 2821 3255 3507 4030 4342 5010 5177 5642 5845 6045 6510 6513 7014 8463 10354 10855 11690 12090 13026 14105 15197 15531 16926 17535 21710 25885 28210 30394 31062 32565 35070 36239 42315 45591 51770 65130 67301 72478 75985 77655 84630 91182 108717 134602 151970 155310 181195 201903 217434 227955 336505 362390 403806 455910 471107 543585 673010 942214 1009515 1087170 1413321 2019030 2355535 2826642 4711070 7066605 14133210