Search a number
-
+
16868838 = 2372181317
BaseRepresentation
bin100000001011…
…0010111100110
31011202000200210
41000112113212
513304300323
61401320250
7263245200
oct100262746
934660623
1016868838
119581898
125796086
13365817c
142351770
151733293
hex10165e6

16868838 has 48 divisors (see below), whose sum is σ = 39587184. Its totient is φ = 4777920.

The previous prime is 16868833. The next prime is 16868849. The reversal of 16868838 is 83886861.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16868833) by changing a digit.

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, 53056 + ... + 53372.

It is an arithmetic number, because the mean of its divisors is an integer number (824733).

Almost surely, 216868838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16868838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19793592).

16868838 is an abundant number, since it is smaller than the sum of its proper divisors (22718346).

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

16868838 is a wasteful number, since it uses less digits than its factorization.

16868838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 510 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 16868838 is about 4107.1690980528. The cubic root of 16868838 is about 256.4651678398.

It can be divided in two parts, 168 and 68838, that added together give a triangular number (69006 = T371).

The spelling of 16868838 in words is "sixteen million, eight hundred sixty-eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 181 294 317 362 543 634 951 1086 1267 1902 2219 2534 3801 4438 6657 7602 8869 13314 15533 17738 26607 31066 46599 53214 57377 93198 114754 172131 344262 401639 803278 1204917 2409834 2811473 5622946 8434419 16868838