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14213430 = 23257211293
BaseRepresentation
bin110110001110…
…000100110110
3222202010011100
4312032010312
512114312210
61224350530
7231545400
oct66160466
928663140
1014213430
118028840
124915446
132c3861a
141c5db70
1513ab5c0
hexd8e136

14213430 has 144 divisors (see below), whose sum is σ = 47056464. Its totient is φ = 2943360.

The previous prime is 14213417. The next prime is 14213431. The reversal of 14213430 is 3431241.

14213430 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14213431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48364 + ... + 48656.

It is an arithmetic number, because the mean of its divisors is an integer number (326781).

Almost surely, 214213430 is an apocalyptic number.

14213430 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 14213430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528232).

14213430 is an abundant number, since it is smaller than the sum of its proper divisors (32843034).

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

14213430 is a wasteful number, since it uses less digits than its factorization.

14213430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 14213430 is about 3770.0702911219. The cubic root of 14213430 is about 242.2328087690.

Adding to 14213430 its reverse (3431241), we get a palindrome (17644671).

It can be divided in two parts, 1421 and 3430, that added together give a triangular number (4851 = T98).

The spelling of 14213430 in words is "fourteen million, two hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 49 55 63 66 70 77 90 98 99 105 110 126 147 154 165 198 210 231 245 293 294 315 330 385 441 462 490 495 539 586 630 693 735 770 879 882 990 1078 1155 1386 1465 1470 1617 1758 2051 2205 2310 2637 2695 2930 3223 3234 3465 4102 4395 4410 4851 5274 5390 6153 6446 6930 8085 8790 9669 9702 10255 12306 13185 14357 16115 16170 18459 19338 20510 22561 24255 26370 28714 29007 30765 32230 36918 43071 45122 48345 48510 58014 61530 67683 71785 86142 92295 96690 112805 129213 135366 143570 145035 157927 184590 203049 215355 225610 258426 290070 315854 338415 406098 430710 473781 646065 676830 789635 947562 1015245 1292130 1421343 1579270 2030490 2368905 2842686 4737810 7106715 14213430