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23026536 = 23321373337
BaseRepresentation
bin101011111010…
…1101101101000
31121022212110200
41113311231220
521343322121
62141312200
7366502521
oct127655550
947285420
1023026536
1111aa81a5
127865660
134a02b90
1430b5848
15204ca26
hex15f5b68

23026536 has 96 divisors (see below), whose sum is σ = 68282760. Its totient is φ = 6967296.

The previous prime is 23026529. The next prime is 23026559. The reversal of 23026536 is 63562032.

23026536 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 653 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14062500 + 8964036 = 3750^2 + 2994^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68160 + ... + 68496.

Almost surely, 223026536 is an apocalyptic number.

23026536 is a gapful number since it is divisible by the number (26) 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 23026536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34141380).

23026536 is an abundant number, since it is smaller than the sum of its proper divisors (45256224).

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

23026536 is a wasteful number, since it uses less digits than its factorization.

23026536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 23026536 is about 4798.5972950436. The cubic root of 23026536 is about 284.4960253047.

Adding to 23026536 its reverse (63562032), we get a palindrome (86588568).

The spelling of 23026536 in words is "twenty-three million, twenty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 73 78 104 117 146 156 219 234 292 312 337 438 468 584 657 674 876 936 949 1011 1314 1348 1752 1898 2022 2628 2696 2847 3033 3796 4044 4381 5256 5694 6066 7592 8088 8541 8762 11388 12132 13143 17082 17524 22776 24264 24601 26286 34164 35048 39429 49202 52572 68328 73803 78858 98404 105144 147606 157716 196808 221409 295212 315432 319813 442818 590424 639626 885636 959439 1279252 1771272 1918878 2558504 2878317 3837756 5756634 7675512 11513268 23026536