Search a number
-
+
18123864 = 233112792
BaseRepresentation
bin100010100100…
…0110001011000
31021002210021020
41011020301120
514114430424
61444242440
7310023153
oct105106130
937083236
1018123864
11a259800
1260a0420
1339a74a5
14259ac9a
1518d0079
hex1148c58

18123864 has 72 divisors (see below), whose sum is σ = 50441580. Its totient is φ = 5422560.

The previous prime is 18123857. The next prime is 18123877. The reversal of 18123864 is 46832181.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 229377 + ... + 229455.

Almost surely, 218123864 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 18123864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25220790).

18123864 is an abundant number, since it is smaller than the sum of its proper divisors (32317716).

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

18123864 is a wasteful number, since it uses less digits than its factorization.

18123864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 95 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 18123864 is about 4257.2131729572. The cubic root of 18123864 is about 262.6739056242.

The spelling of 18123864 in words is "eighteen million, one hundred twenty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 121 132 158 237 242 264 316 363 474 484 632 726 869 948 968 1452 1738 1896 2607 2904 3476 5214 6241 6952 9559 10428 12482 18723 19118 20856 24964 28677 37446 38236 49928 57354 68651 74892 76472 114708 137302 149784 205953 229416 274604 411906 549208 755161 823812 1510322 1647624 2265483 3020644 4530966 6041288 9061932 18123864