Search a number
-
+
18815004 = 2235131489
BaseRepresentation
bin100011111000…
…1100000011100
31022101220100000
41013301200130
514304040004
61511134300
7315632145
oct107614034
938356300
1018815004
11a690a9a
126374390
133b89c50
1426daacc
1519b9c39
hex11f181c

18815004 has 72 divisors (see below), whose sum is σ = 53151280. Its totient is φ = 5785344.

The previous prime is 18814979. The next prime is 18815009. The reversal of 18815004 is 40051881.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18815009) 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, 11892 + ... + 13380.

Almost surely, 218815004 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 18815004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26575640).

18815004 is an abundant number, since it is smaller than the sum of its proper divisors (34336276).

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

18815004 is a wasteful number, since it uses less digits than its factorization.

18815004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 18815004 is about 4337.6265399409. The cubic root of 18815004 is about 265.9712973345.

Adding to 18815004 its reverse (40051881), we get a palindrome (58866885).

The spelling of 18815004 in words is "eighteen million, eight hundred fifteen thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 1489 2106 2978 3159 4212 4467 5956 6318 8934 12636 13401 17868 19357 26802 38714 40203 53604 58071 77428 80406 116142 120609 160812 174213 232284 241218 348426 361827 482436 522639 696852 723654 1045278 1447308 1567917 2090556 3135834 4703751 6271668 9407502 18815004