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23662940 = 2257173977
BaseRepresentation
bin101101001000…
…1000101011100
31122112012110012
41122101011130
522024203230
62203102352
7405063110
oct132210534
948465405
1023662940
11123a2354
127b119b8
134b96752
1431dd740
152126395
hex169115c

23662940 has 48 divisors (see below), whose sum is σ = 57177792. Its totient is φ = 8057856.

The previous prime is 23662939. The next prime is 23662967. The reversal of 23662940 is 4926632.

It is a junction number, because it is equal to n+sod(n) for n = 23662897 and 23662906.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 23732 + ... + 24708.

It is an arithmetic number, because the mean of its divisors is an integer number (1191204).

Almost surely, 223662940 is an apocalyptic number.

23662940 is a gapful number since it is divisible by the number (20) 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 23662940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28588896).

23662940 is an abundant number, since it is smaller than the sum of its proper divisors (33514852).

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

23662940 is a wasteful number, since it uses less digits than its factorization.

23662940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 23662940 is about 4864.4568042074. The cubic root of 23662940 is about 287.0931965541.

The spelling of 23662940 in words is "twenty-three million, six hundred sixty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 977 1211 1730 1954 2422 3460 3908 4844 4885 6055 6839 9770 12110 13678 19540 24220 27356 34195 68390 136780 169021 338042 676084 845105 1183147 1690210 2366294 3380420 4732588 5915735 11831470 23662940