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14206140 = 22325132467
BaseRepresentation
bin110110001100…
…010010111100
3222201202011100
4312030102330
512114044030
61224253100
7231515214
oct66142274
928652140
1014206140
118023313
124911190
132c35200
141c5b244
1513a9360
hexd8c4bc

14206140 has 108 divisors (see below), whose sum is σ = 46761624. Its totient is φ = 3489408.

The previous prime is 14206139. The next prime is 14206141. The reversal of 14206140 is 4160241.

14206140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14206139) and next prime (14206141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14206141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30187 + ... + 30653.

It is an arithmetic number, because the mean of its divisors is an integer number (432978).

Almost surely, 214206140 is an apocalyptic number.

14206140 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 14206140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23380812).

14206140 is an abundant number, since it is smaller than the sum of its proper divisors (32555484).

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

14206140 is a wasteful number, since it uses less digits than its factorization.

14206140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14206140 is about 3769.1033416451. The cubic root of 14206140 is about 242.1913883385.

Adding to 14206140 its reverse (4160241), we get a palindrome (18366381).

The spelling of 14206140 in words is "fourteen million, two hundred six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 467 468 507 585 676 780 845 934 1014 1170 1401 1521 1690 1868 2028 2335 2340 2535 2802 3042 3380 4203 4670 5070 5604 6071 6084 7005 7605 8406 9340 10140 12142 14010 15210 16812 18213 21015 24284 28020 30355 30420 36426 42030 54639 60710 72852 78923 84060 91065 109278 121420 157846 182130 218556 236769 273195 315692 364260 394615 473538 546390 710307 789230 947076 1092780 1183845 1420614 1578460 2367690 2841228 3551535 4735380 7103070 14206140