Search a number
-
+
23126004 = 22321125309
BaseRepresentation
bin101100000110…
…1111111110100
31121111220220200
41120031333310
521410013004
62143400500
7400365516
oct130157764
947456820
1023126004
1112065a00
1278b3130
134a39235
1430ddbb6
15206c239
hex160dff4

23126004 has 54 divisors (see below), whose sum is σ = 64266930. Its totient is φ = 7006560.

The previous prime is 23125987. The next prime is 23126057. The reversal of 23126004 is 40062132.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12236004 + 10890000 = 3498^2 + 3300^2 .

It is a super-2 number, since 2×231260042 = 1069624122016032, which contains 22 as substring.

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

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, 1702 + ... + 7010.

Almost surely, 223126004 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 23126004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32133465).

23126004 is an abundant number, since it is smaller than the sum of its proper divisors (41140926).

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

23126004 is a wasteful number, since it uses less digits than its factorization.

23126004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23126004 is about 4808.9504052340. The cubic root of 23126004 is about 284.9050838128.

Adding to 23126004 its reverse (40062132), we get a palindrome (63188136).

The spelling of 23126004 in words is "twenty-three million, one hundred twenty-six thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 5309 10618 15927 21236 31854 47781 58399 63708 95562 116798 175197 191124 233596 350394 525591 642389 700788 1051182 1284778 1927167 2102364 2569556 3854334 5781501 7708668 11563002 23126004