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23943040 = 2751119179
BaseRepresentation
bin101101101010…
…1011110000000
31200001102200021
41123111132000
522112134130
62213103224
7410340532
oct133253600
950042607
1023943040
1112573840
128027b14
134c640a4
143273852
15217e37a
hex16d5780

23943040 has 128 divisors (see below), whose sum is σ = 66096000. Its totient is φ = 8202240.

The previous prime is 23943019. The next prime is 23943041. The reversal of 23943040 is 4034932.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 23942996 and 23943014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23943041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133671 + ... + 133849.

It is an arithmetic number, because the mean of its divisors is an integer number (516375).

Almost surely, 223943040 is an apocalyptic number.

23943040 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 23943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33048000).

23943040 is an abundant number, since it is smaller than the sum of its proper divisors (42152960).

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

23943040 is a wasteful number, since it uses less digits than its factorization.

23943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 23943040 is about 4893.1625764939. The cubic root of 23943040 is about 288.2215373627.

Adding to 23943040 its reverse (4034932), we get a palindrome (27977972).

The spelling of 23943040 in words is "twenty-three million, nine hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 128 152 160 176 179 190 209 220 304 320 352 358 380 418 440 608 640 704 716 760 836 880 895 1045 1216 1408 1432 1520 1672 1760 1790 1969 2090 2432 2864 3040 3344 3401 3520 3580 3938 4180 5728 6080 6688 6802 7040 7160 7876 8360 9845 11456 12160 13376 13604 14320 15752 16720 17005 19690 22912 26752 27208 28640 31504 33440 34010 37411 39380 54416 57280 63008 66880 68020 74822 78760 108832 114560 126016 133760 136040 149644 157520 187055 217664 252032 272080 299288 315040 374110 435328 544160 598576 630080 748220 1088320 1197152 1260160 1496440 2176640 2394304 2992880 4788608 5985760 11971520 23943040