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23830440 = 2335712797
BaseRepresentation
bin101101011100…
…1111110101000
31122211201012220
41122321332220
522100033230
62210434040
7406361334
oct132717650
948751186
1023830440
11124a7187
127b92920
134c24a6a
1432447c4
15215ad10
hex16b9fa8

23830440 has 64 divisors (see below), whose sum is σ = 72524160. Its totient is φ = 6263040.

The previous prime is 23830403. The next prime is 23830459. The reversal of 23830440 is 4403832.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23830440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7122 + ... + 9918.

It is an arithmetic number, because the mean of its divisors is an integer number (1133190).

Almost surely, 223830440 is an apocalyptic number.

23830440 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 23830440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36262080).

23830440 is an abundant number, since it is smaller than the sum of its proper divisors (48693720).

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

23830440 is a wasteful number, since it uses less digits than its factorization.

23830440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23830440 is about 4881.6431659842. The cubic root of 23830440 is about 287.7690084547.

The spelling of 23830440 in words is "twenty-three million, eight hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2797 2840 4260 5594 8391 8520 11188 13985 16782 22376 27970 33564 41955 55940 67128 83910 111880 167820 198587 335640 397174 595761 794348 992935 1191522 1588696 1985870 2383044 2978805 3971740 4766088 5957610 7943480 11915220 23830440