Search a number
-
+
23027508 = 223272329137
BaseRepresentation
bin101011111010…
…1111100110100
31121022220210200
41113311330310
521343340013
62141320500
7366505410
oct127657464
947286720
1023027508
1111aa89a9
127866130
134a0345a
1430b5d40
15204ce73
hex15f5f34

23027508 has 144 divisors (see below), whose sum is σ = 72334080. Its totient is φ = 6031872.

The previous prime is 23027507. The next prime is 23027519. The reversal of 23027508 is 80572032.

It is a super-2 number, since 2×230275082 = 1060532249380128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23027507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168016 + ... + 168152.

It is an arithmetic number, because the mean of its divisors is an integer number (502320).

Almost surely, 223027508 is an apocalyptic number.

23027508 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 23027508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36167040).

23027508 is an abundant number, since it is smaller than the sum of its proper divisors (49306572).

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

23027508 is a wasteful number, since it uses less digits than its factorization.

23027508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 23027508 is about 4798.6985735718. The cubic root of 23027508 is about 284.5000283131.

The spelling of 23027508 in words is "twenty-three million, twenty-seven thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 29 36 42 46 58 63 69 84 87 92 116 126 137 138 161 174 203 207 252 261 274 276 322 348 406 411 414 483 522 548 609 644 667 812 822 828 959 966 1044 1218 1233 1334 1449 1644 1827 1918 1932 2001 2436 2466 2668 2877 2898 3151 3654 3836 3973 4002 4669 4932 5754 5796 6003 6302 7308 7946 8004 8631 9338 9453 11508 11919 12006 12604 14007 15892 17262 18676 18906 22057 23838 24012 27811 28014 28359 34524 35757 37812 42021 44114 47676 55622 56028 56718 66171 71514 83433 84042 88228 91379 111244 113436 132342 143028 166866 168084 182758 198513 250299 264684 274137 333732 365516 397026 500598 548274 639653 794052 822411 1001196 1096548 1279306 1644822 1918959 2558612 3289644 3837918 5756877 7675836 11513754 23027508