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20016414 = 23211432351
BaseRepresentation
bin100110001011…
…0110100011110
31101122221100200
41030112310132
520111011124
61553004330
7332064615
oct114266436
941587320
1020016414
11103316a0
1268536a6
1341baa42
14293087c
151b55bc9
hex1316d1e

20016414 has 48 divisors (see below), whose sum is σ = 48432384. Its totient is φ = 5922000.

The previous prime is 20016413. The next prime is 20016419. The reversal of 20016414 is 41461002.

Added to its reverse (41461002) it gives a triangular number (61477416 = T11088).

20016414 is a `hidden beast` number, since 20 + 0 + 1 + 641 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20016413) 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 23 ways as a sum of consecutive naturals, for example, 7339 + ... + 9689.

It is an arithmetic number, because the mean of its divisors is an integer number (1009008).

Almost surely, 220016414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20016414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24216192).

20016414 is an abundant number, since it is smaller than the sum of its proper divisors (28415970).

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

20016414 is a wasteful number, since it uses less digits than its factorization.

20016414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20016414 is about 4473.9707196181. The cubic root of 20016414 is about 271.5159987723.

Adding to 20016414 its reverse (41461002), we get a palindrome (61477416).

The spelling of 20016414 in words is "twenty million, sixteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 2351 2838 4257 4702 7053 8514 14106 21159 25861 42318 51722 77583 101093 155166 202186 232749 303279 465498 606558 909837 1112023 1819674 2224046 3336069 6672138 10008207 20016414