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23126868 = 223217233153
BaseRepresentation
bin101100000111…
…0001101010100
31121111222002200
41120032031110
521410024433
62143404500
7400401162
oct130161524
947458080
1023126868
1112066616
1278b3730
134a3974b
143100232
15206c613
hex160e354

23126868 has 144 divisors (see below), whose sum is σ = 67931136. Its totient is φ = 6589440.

The previous prime is 23126863. The next prime is 23126897. The reversal of 23126868 is 86862132.

It is a Harshad number since it is a multiple of its sum of digits (36).

23126868 is a modest number, since divided by 6868 gives 2312 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23126861) 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 47 ways as a sum of consecutive naturals, for example, 436330 + ... + 436382.

It is an arithmetic number, because the mean of its divisors is an integer number (471744).

Almost surely, 223126868 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 23126868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33965568).

23126868 is an abundant number, since it is smaller than the sum of its proper divisors (44804268).

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

23126868 is a wasteful number, since it uses less digits than its factorization.

23126868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 23126868 is about 4809.0402368872. The cubic root of 23126868 is about 284.9086318379.

It can be divided in two parts, 2312 and 6868, that added together give a triangular number (9180 = T135).

The spelling of 23126868 in words is "twenty-three million, one hundred twenty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 23 31 34 36 46 51 53 62 68 69 92 93 102 106 124 138 153 159 186 204 207 212 276 279 306 318 372 391 414 477 527 558 612 636 713 782 828 901 954 1054 1116 1173 1219 1426 1564 1581 1643 1802 1908 2108 2139 2346 2438 2703 2852 3162 3286 3519 3604 3657 4278 4692 4743 4876 4929 5406 6324 6417 6572 7038 7314 8109 8556 9486 9858 10812 10971 12121 12834 14076 14628 14787 16218 18972 19716 20723 21942 24242 25668 27931 29574 32436 36363 37789 41446 43884 48484 55862 59148 62169 72726 75578 82892 83793 109089 111724 113367 124338 145452 151156 167586 186507 218178 226734 248676 251379 335172 340101 373014 436356 453468 502758 642413 680202 746028 1005516 1284826 1360404 1927239 2569652 3854478 5781717 7708956 11563434 23126868