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23680890 = 2335229383
BaseRepresentation
bin101101001010…
…1011101111010
31122120010002000
41122111131322
522030242030
62203321430
7405166332
oct132253572
948503060
1023680890
1112404892
127b20276
134ba197c
1432060c2
15212b860
hex169577a

23680890 has 64 divisors (see below), whose sum is σ = 63590400. Its totient is φ = 6270912.

The previous prime is 23680879. The next prime is 23680913. The reversal of 23680890 is 9808632.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61639 + ... + 62021.

It is an arithmetic number, because the mean of its divisors is an integer number (993600).

Almost surely, 223680890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23680890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31795200).

23680890 is an abundant number, since it is smaller than the sum of its proper divisors (39909510).

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

23680890 is a wasteful number, since it uses less digits than its factorization.

23680890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 23680890 is about 4866.3014703160. The cubic root of 23680890 is about 287.1657716494.

The spelling of 23680890 in words is "twenty-three million, six hundred eighty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 229 270 383 458 687 766 1145 1149 1374 1915 2061 2290 2298 3435 3447 3830 4122 5745 6183 6870 6894 10305 10341 11490 12366 17235 20610 20682 30915 34470 51705 61830 87707 103410 175414 263121 438535 526242 789363 877070 1315605 1578726 2368089 2631210 3946815 4736178 7893630 11840445 23680890