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14167140 = 22351341443
BaseRepresentation
bin110110000010…
…110001100100
3222122202122220
4312002301210
512111322030
61223352340
7231263421
oct66026144
928582586
1014167140
117aa6a89
1248b26b0
132c20530
141c4ad48
15139ca10
hexd82c64

14167140 has 96 divisors (see below), whose sum is σ = 43860096. Its totient is φ = 3394560.

The previous prime is 14167123. The next prime is 14167147. The reversal of 14167140 is 4176141.

It is a self number, because there is not a number n which added to its sum of digits gives 14167140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14167147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31759 + ... + 32201.

It is an arithmetic number, because the mean of its divisors is an integer number (456876).

Almost surely, 214167140 is an apocalyptic number.

14167140 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 14167140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21930048).

14167140 is an abundant number, since it is smaller than the sum of its proper divisors (29692956).

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

14167140 is a wasteful number, since it uses less digits than its factorization.

14167140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 14167140 is about 3763.9261416771. The cubic root of 14167140 is about 241.9695565374.

Subtracting from 14167140 its reverse (4176141), we obtain a palindrome (9990999).

The spelling of 14167140 in words is "fourteen million, one hundred sixty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 390 410 443 492 533 615 780 820 886 1066 1230 1329 1599 1772 2132 2215 2460 2658 2665 3198 4430 5316 5330 5759 6396 6645 7995 8860 10660 11518 13290 15990 17277 18163 23036 26580 28795 31980 34554 36326 54489 57590 69108 72652 86385 90815 108978 115180 172770 181630 217956 236119 272445 345540 363260 472238 544890 708357 944476 1089780 1180595 1416714 2361190 2833428 3541785 4722380 7083570 14167140