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13050414 = 23213431297
BaseRepresentation
bin110001110010…
…001000101110
3220120000210200
4301302020232
511320103124
61143414330
7215632566
oct61621056
926500720
1013050414
117403a73
1244543a6
13291c150
141a39da6
15122bbc9
hexc7222e

13050414 has 48 divisors (see below), whose sum is σ = 31183152. Its totient is φ = 3919104.

The previous prime is 13050403. The next prime is 13050421. The reversal of 13050414 is 41405031.

It is a happy number.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9414 + ... + 10710.

It is an arithmetic number, because the mean of its divisors is an integer number (649649).

Almost surely, 213050414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13050414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15591576).

13050414 is an abundant number, since it is smaller than the sum of its proper divisors (18132738).

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

13050414 is a wasteful number, since it uses less digits than its factorization.

13050414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13050414 is about 3612.5356745643. The cubic root of 13050414 is about 235.4370259087.

Adding to 13050414 its reverse (41405031), we get a palindrome (54455445).

The spelling of 13050414 in words is "thirteen million, fifty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 774 1118 1297 1677 2594 3354 3891 5031 7782 10062 11673 16861 23346 33722 50583 55771 101166 111542 151749 167313 303498 334626 501939 725023 1003878 1450046 2175069 4350138 6525207 13050414