Search a number
-
+
23126628 = 22372371063
BaseRepresentation
bin101100000111…
…0001001100100
31121111221202210
41120032021210
521410023003
62143403420
7400400400
oct130161144
947457683
1023126628
1112066418
1278b3570
134a395c5
143100100
15206c503
hex160e264

23126628 has 72 divisors (see below), whose sum is σ = 64529472. Its totient is φ = 6422976.

The previous prime is 23126627. The next prime is 23126633. The reversal of 23126628 is 82662132.

It is a junction number, because it is equal to n+sod(n) for n = 23126595 and 23126604.

It is not an unprimeable number, because it can be changed into a prime (23126627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21225 + ... + 22287.

Almost surely, 223126628 is an apocalyptic number.

23126628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23126628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32264736).

23126628 is an abundant number, since it is smaller than the sum of its proper divisors (41402844).

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

23126628 is a wasteful number, since it uses less digits than its factorization.

23126628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1112 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 23126628 is about 4809.0152838185. The cubic root of 23126628 is about 284.9076462842.

The spelling of 23126628 in words is "twenty-three million, one hundred twenty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 777 1036 1063 1554 1813 2126 3108 3189 3626 4252 5439 6378 7252 7441 10878 12756 14882 21756 22323 29764 39331 44646 52087 78662 89292 104174 117993 156261 157324 208348 235986 275317 312522 471972 550634 625044 825951 1101268 1651902 1927219 3303804 3854438 5781657 7708876 11563314 23126628