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23668890 = 2357412749
BaseRepresentation
bin101101001001…
…0100010011010
31122112111121120
41122102202122
522024401030
62203150110
7405116340
oct132224232
948474546
1023668890
11123a6873
127b15336
134b9937b
143201990
152128010
hex169289a

23668890 has 64 divisors (see below), whose sum is σ = 66528000. Its totient is φ = 5276160.

The previous prime is 23668847. The next prime is 23668907. The reversal of 23668890 is 9886632.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7236 + ... + 9984.

It is an arithmetic number, because the mean of its divisors is an integer number (1039500).

Almost surely, 223668890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23668890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33264000).

23668890 is an abundant number, since it is smaller than the sum of its proper divisors (42859110).

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

23668890 is a wasteful number, since it uses less digits than its factorization.

23668890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807.

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 23668890 is about 4865.0683448437. The cubic root of 23668890 is about 287.1172575452.

The spelling of 23668890 in words is "twenty-three million, six hundred sixty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1722 2749 2870 4305 5498 8247 8610 13745 16494 19243 27490 38486 41235 57729 82470 96215 112709 115458 192430 225418 288645 338127 563545 577290 676254 788963 1127090 1577926 1690635 2366889 3381270 3944815 4733778 7889630 11834445 23668890