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23864040 = 23325151439
BaseRepresentation
bin101101100001…
…0001011101000
31122220102022100
41123002023220
522102122130
62211253400
7406561314
oct133021350
948812270
1023864040
111251a452
127baa260
134c37145
143252b44
152165c60
hex16c22e8

23864040 has 96 divisors (see below), whose sum is σ = 78249600. Its totient is φ = 6307200.

The previous prime is 23864021. The next prime is 23864053. The reversal of 23864040 is 4046832.

It is a junction number, because it is equal to n+sod(n) for n = 23863995 and 23864013.

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 23 ways as a sum of consecutive naturals, for example, 54141 + ... + 54579.

It is an arithmetic number, because the mean of its divisors is an integer number (815100).

Almost surely, 223864040 is an apocalyptic number.

23864040 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 23864040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39124800).

23864040 is an abundant number, since it is smaller than the sum of its proper divisors (54385560).

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

23864040 is a wasteful number, since it uses less digits than its factorization.

23864040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 23864040 is about 4885.0834179162. The cubic root of 23864040 is about 287.9041926689.

The spelling of 23864040 in words is "twenty-three million, eight hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 151 180 302 360 439 453 604 755 878 906 1208 1317 1359 1510 1756 1812 2195 2265 2634 2718 3020 3512 3624 3951 4390 4530 5268 5436 6040 6585 6795 7902 8780 9060 10536 10872 13170 13590 15804 17560 18120 19755 26340 27180 31608 39510 52680 54360 66289 79020 132578 158040 198867 265156 331445 397734 530312 596601 662890 795468 994335 1193202 1325780 1590936 1988670 2386404 2651560 2983005 3977340 4772808 5966010 7954680 11932020 23864040