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23960112 = 24311231973
BaseRepresentation
bin101101101100…
…1101000110000
31200002022002120
41123121220300
522113210422
62213314240
7410441361
oct133315060
950068076
1023960112
1112585650
128035980
134c6baa7
143279b68
15218445c
hex16d9a30

23960112 has 80 divisors (see below), whose sum is σ = 70495488. Its totient is φ = 6941440.

The previous prime is 23960107. The next prime is 23960137. The reversal of 23960112 is 21106932.

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

It is a congruent number.

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, 11158 + ... + 13130.

Almost surely, 223960112 is an apocalyptic number.

23960112 is a gapful number since it is divisible by the number (22) 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 23960112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35247744).

23960112 is an abundant number, since it is smaller than the sum of its proper divisors (46535376).

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

23960112 is a wasteful number, since it uses less digits than its factorization.

23960112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 23960112 is about 4894.9067406846. The cubic root of 23960112 is about 288.2900241974.

The spelling of 23960112 in words is "twenty-three million, nine hundred sixty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 1973 2024 3036 3946 4048 5919 6072 7892 11838 12144 15784 21703 23676 31568 43406 45379 47352 65109 86812 90758 94704 130218 136137 173624 181516 260436 272274 347248 363032 499169 520872 544548 726064 998338 1041744 1089096 1497507 1996676 2178192 2995014 3993352 5990028 7986704 11980056 23960112