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23945320 = 2357219643
BaseRepresentation
bin101101101011…
…0000001101000
31200001112210201
41123112001220
522112222240
62213121544
7410350300
oct133260150
950045721
1023945320
1112575523
1280292b4
134c65139
143274600
15217ed9a
hex16d6068

23945320 has 96 divisors (see below), whose sum is σ = 66074400. Its totient is φ = 7765632.

The previous prime is 23945291. The next prime is 23945321. The reversal of 23945320 is 2354932.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (23945321) 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 23 ways as a sum of consecutive naturals, for example, 36919 + ... + 37561.

It is an arithmetic number, because the mean of its divisors is an integer number (688275).

Almost surely, 223945320 is an apocalyptic number.

23945320 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 23945320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33037200).

23945320 is an abundant number, since it is smaller than the sum of its proper divisors (42129080).

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

23945320 is a wasteful number, since it uses less digits than its factorization.

23945320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 23945320 is about 4893.3955491049. The cubic root of 23945320 is about 288.2306858007.

The spelling of 23945320 in words is "twenty-three million, nine hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 380 392 490 532 643 665 760 931 980 1064 1286 1330 1862 1960 2572 2660 3215 3724 4501 4655 5144 5320 6430 7448 9002 9310 12217 12860 18004 18620 22505 24434 25720 31507 36008 37240 45010 48868 61085 63014 85519 90020 97736 122170 126028 157535 171038 180040 244340 252056 315070 342076 427595 488680 598633 630140 684152 855190 1197266 1260280 1710380 2394532 2993165 3420760 4789064 5986330 11972660 23945320