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23520 = 253572
BaseRepresentation
bin101101111100000
31012021010
411233200
51223040
6300520
7125400
oct55740
935233
1023520
1116742
1211740
13a923
148800
156e80
hex5be0

23520 has 72 divisors (see below), whose sum is σ = 86184. Its totient is φ = 5376.

The previous prime is 23509. The next prime is 23531. The reversal of 23520 is 2532.

Adding to 23520 its sum of digits (12), we get a palindrome (23532).

23520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (23509) and next prime (23531).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 23496 and 23505.

It is a congruent number.

It is an unprimeable number.

23520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3357 + ... + 3363.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

223520 is an apocalyptic number.

23520 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 23520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43092).

23520 is an abundant number, since it is smaller than the sum of its proper divisors (62664).

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

23520 is a wasteful number, since it uses less digits than its factorization.

23520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 23520 is about 153.3623161014. The cubic root of 23520 is about 28.6513950266.

The spelling of 23520 in words is "twenty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 23520