Search a number
-
+
14419836 = 2233315973
BaseRepresentation
bin110111000000…
…011101111100
31000010121022000
4313000131330
512142413321
61233022300
7233365224
oct67003574
930117260
1014419836
118159922
1249b4990
132cab562
141cb5084
1513ec826
hexdc077c

14419836 has 96 divisors (see below), whose sum is σ = 39782400. Its totient is φ = 4510080.

The previous prime is 14419831. The next prime is 14419837. The reversal of 14419836 is 63891441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14419836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14419831) 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 31 ways as a sum of consecutive naturals, for example, 197496 + ... + 197568.

It is an arithmetic number, because the mean of its divisors is an integer number (414400).

Almost surely, 214419836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14419836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19891200).

14419836 is an abundant number, since it is smaller than the sum of its proper divisors (25362564).

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

14419836 is a wasteful number, since it uses less digits than its factorization.

14419836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 14419836 is about 3797.3459152413. The cubic root of 14419836 is about 243.3997383454.

The spelling of 14419836 in words is "fourteen million, four hundred nineteen thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 59 62 73 93 108 118 124 146 177 186 219 236 279 292 354 372 438 531 558 657 708 837 876 1062 1116 1314 1593 1674 1829 1971 2124 2263 2628 3186 3348 3658 3942 4307 4526 5487 6372 6789 7316 7884 8614 9052 10974 12921 13578 16461 17228 20367 21948 25842 27156 32922 38763 40734 49383 51684 61101 65844 77526 81468 98766 116289 122202 133517 155052 197532 232578 244404 267034 400551 465156 534068 801102 1201653 1602204 2403306 3604959 4806612 7209918 14419836