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23000320 = 285717151
BaseRepresentation
bin101011110111…
…1010100000000
31121021112111201
41113233110000
521342002240
62140550544
7366333220
oct127572400
947245451
1023000320
1111a8a532
127852454
1349c3c75
1430aa080
152044d9a
hex15ef500

23000320 has 144 divisors (see below), whose sum is σ = 67108608. Its totient is φ = 7372800.

The previous prime is 23000311. The next prime is 23000323. The reversal of 23000320 is 2300032.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 23000297 and 23000306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000323) 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, 152245 + ... + 152395.

It is an arithmetic number, because the mean of its divisors is an integer number (466032).

Almost surely, 223000320 is an apocalyptic number.

23000320 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 23000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33554304).

23000320 is an abundant number, since it is smaller than the sum of its proper divisors (44108288).

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

23000320 is a wasteful number, since it uses less digits than its factorization.

23000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 23000320 is about 4795.8648855029. The cubic root of 23000320 is about 284.3880168739.

23000320 divided by its sum of digits (10) gives a palindrome (2300032).

Adding to 23000320 its reverse (2300032), we get a palindrome (25300352).

The spelling of 23000320 in words is "twenty-three million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 151 160 170 224 238 256 272 280 302 320 340 448 476 544 560 595 604 640 680 755 896 952 1057 1088 1120 1190 1208 1280 1360 1510 1792 1904 2114 2176 2240 2380 2416 2567 2720 3020 3808 4228 4352 4480 4760 4832 5134 5285 5440 6040 7616 8456 8960 9520 9664 10268 10570 10880 12080 12835 15232 16912 17969 19040 19328 20536 21140 21760 24160 25670 30464 33824 35938 38080 38656 41072 42280 48320 51340 67648 71876 76160 82144 84560 89845 96640 102680 135296 143752 152320 164288 169120 179690 193280 205360 270592 287504 328576 338240 359380 410720 575008 657152 676480 718760 821440 1150016 1352960 1437520 1642880 2300032 2875040 3285760 4600064 5750080 11500160 23000320