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23241940 = 22519311973
BaseRepresentation
bin101100010101…
…0010011010100
31121201210221121
41120222103110
521422220230
62150053324
7401360521
oct130522324
947653847
1023241940
1112135017
12794a244
134a79c37
143130148
15209177a
hex162a4d4

23241940 has 48 divisors (see below), whose sum is σ = 53061120. Its totient is φ = 8519040.

The previous prime is 23241919. The next prime is 23241947. The reversal of 23241940 is 4914232.

23241940 = T1209 + T1210 + ... + T1239.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23241947) 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 15 ways as a sum of consecutive naturals, for example, 10794 + ... + 12766.

It is an arithmetic number, because the mean of its divisors is an integer number (1105440).

Almost surely, 223241940 is an apocalyptic number.

23241940 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 23241940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26530560).

23241940 is an abundant number, since it is smaller than the sum of its proper divisors (29819180).

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

23241940 is a wasteful number, since it uses less digits than its factorization.

23241940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 23241940 is about 4820.9895249834. The cubic root of 23241940 is about 285.3803887564.

The spelling of 23241940 in words is "twenty-three million, two hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 1973 2356 2945 3946 5890 7892 9865 11780 19730 37487 39460 61163 74974 122326 149948 187435 244652 305815 374870 611630 749740 1162097 1223260 2324194 4648388 5810485 11620970 23241940