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24960 = 273513
BaseRepresentation
bin110000110000000
31021020110
412012000
51244320
6311320
7132525
oct60600
937213
1024960
1117831
1212540
13b490
14914c
1575e0
hex6180

24960 has 64 divisors (see below), whose sum is σ = 85680. Its totient is φ = 6144.

The previous prime is 24953. The next prime is 24967. The reversal of 24960 is 6942.

It is an interprime number because it is at equal distance from previous prime (24953) and next prime (24967).

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24967) by changing a digit.

24960 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 7 ways as a sum of consecutive naturals, for example, 1914 + ... + 1926.

224960 is an apocalyptic number.

24960 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 24960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42840).

24960 is an abundant number, since it is smaller than the sum of its proper divisors (60720).

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

24960 is a wasteful number, since it uses less digits than its factorization.

24960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 24960 is about 157.9873412651. The cubic root of 24960 is about 29.2245742963.

The spelling of 24960 in words is "twenty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960