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13214430 = 2325296183
BaseRepresentation
bin110010011010…
…001011011110
3220212100210100
4302122023132
511340330210
61151121530
7220215015
oct62321336
926770710
1013214430
117506219
1245132a6
1329789b8
141a7da7c
1512605c0
hexc9a2de

13214430 has 96 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 3306240.

The previous prime is 13214429. The next prime is 13214447. The reversal of 13214430 is 3441231.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159169 + ... + 159251.

It is an arithmetic number, because the mean of its divisors is an integer number (380835).

Almost surely, 213214430 is an apocalyptic number.

13214430 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 13214430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

13214430 is an abundant number, since it is smaller than the sum of its proper divisors (23345730).

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

13214430 is a wasteful number, since it uses less digits than its factorization.

13214430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 183 counting only the distinct ones).

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

The square root of 13214430 is about 3635.1657458773. The cubic root of 13214430 is about 236.4192370991.

Adding to 13214430 its reverse (3441231), we get a palindrome (16655661).

The spelling of 13214430 in words is "thirteen million, two hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 61 83 87 90 122 145 166 174 183 249 261 290 305 366 415 435 498 522 549 610 747 830 870 915 1098 1245 1305 1494 1769 1830 2407 2490 2610 2745 3538 3735 4814 5063 5307 5490 7221 7470 8845 10126 10614 12035 14442 15189 15921 17690 21663 24070 25315 26535 30378 31842 36105 43326 45567 50630 53070 72210 75945 79605 91134 108315 146827 151890 159210 216630 227835 293654 440481 455670 734135 880962 1321443 1468270 2202405 2642886 4404810 6607215 13214430