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13350414 = 2371123771
BaseRepresentation
bin110010111011…
…011000001110
3221010021022210
4302323120032
511404203124
61154051250
7221322330
oct62733016
927107283
1013350414
117599400
124579b26
1329c586c
141ab7450
15128aa29
hexcbb60e

13350414 has 96 divisors (see below), whose sum is σ = 34933248. Its totient is φ = 3326400.

The previous prime is 13350413. The next prime is 13350427. The reversal of 13350414 is 41405331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13350413) by changing a digit.

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, 187999 + ... + 188069.

It is an arithmetic number, because the mean of its divisors is an integer number (363888).

Almost surely, 213350414 is an apocalyptic number.

13350414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13350414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17466624).

13350414 is an abundant number, since it is smaller than the sum of its proper divisors (21582834).

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

13350414 is a wasteful number, since it uses less digits than its factorization.

13350414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 13350414 is about 3653.8218347369. The cubic root of 13350414 is about 237.2274339399.

Adding to 13350414 its reverse (41405331), we get a palindrome (54755745).

The spelling of 13350414 in words is "thirteen million, three hundred fifty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 66 71 74 77 111 121 142 154 213 222 231 242 259 363 407 426 462 497 518 726 777 781 814 847 994 1221 1491 1554 1562 1694 2343 2442 2541 2627 2849 2982 4477 4686 5082 5254 5467 5698 7881 8547 8591 8954 10934 13431 15762 16401 17094 17182 18389 25773 26862 28897 31339 32802 36778 51546 55167 57794 60137 62678 86691 94017 110334 120274 173382 180411 188034 202279 317867 360822 404558 606837 635734 953601 1213674 1907202 2225069 4450138 6675207 13350414