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23107128 = 23311273109
BaseRepresentation
bin101100000100…
…1011000111000
31121110222000120
41120021120320
521403412003
62143133240
7400256502
oct130113070
947428016
1023107128
1112052800
1278a4220
134a30775
1430d6d72
152066853
hex1609638

23107128 has 96 divisors (see below), whose sum is σ = 64957200. Its totient is φ = 6842880.

The previous prime is 23107093. The next prime is 23107141. The reversal of 23107128 is 82170132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23107098 and 23107107.

It is a congruent number.

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, 211938 + ... + 212046.

Almost surely, 223107128 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 23107128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32478600).

23107128 is an abundant number, since it is smaller than the sum of its proper divisors (41850072).

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

23107128 is a wasteful number, since it uses less digits than its factorization.

23107128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 23107128 is about 4806.9874141712. The cubic root of 23107128 is about 284.8275472555.

The spelling of 23107128 in words is "twenty-three million, one hundred seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 109 121 132 146 218 219 242 264 292 327 363 436 438 484 584 654 726 803 872 876 968 1199 1308 1452 1606 1752 2398 2409 2616 2904 3212 3597 4796 4818 6424 7194 7957 8833 9592 9636 13189 14388 15914 17666 19272 23871 26378 26499 28776 31828 35332 39567 47742 52756 52998 63656 70664 79134 87527 95484 105512 105996 158268 175054 190968 211992 262581 316536 350108 525162 700216 962797 1050324 1925594 2100648 2888391 3851188 5776782 7702376 11553564 23107128