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288960 = 2635743
BaseRepresentation
bin1000110100011000000
3112200101020
41012203000
533221320
610105440
72312310
oct1064300
9480336
10288960
11188111
1211b280
13a16a9
1477440
155a940
hex468c0

288960 has 112 divisors (see below), whose sum is σ = 1072896. Its totient is φ = 64512.

The previous prime is 288947. The next prime is 288973. The reversal of 288960 is 69882.

It is an interprime number because it is at equal distance from previous prime (288947) and next prime (288973).

It is a tau number, because it is divible by the number of its divisors (112).

It is a nialpdrome in base 14.

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, 6699 + ... + 6741.

2288960 is an apocalyptic number.

288960 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 288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536448).

288960 is an abundant number, since it is smaller than the sum of its proper divisors (783936).

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

288960 is a wasteful number, since it uses less digits than its factorization.

288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 288960 is about 537.5499976746. The cubic root of 288960 is about 66.1118397606. Note that the first 3 decimals are identical.

The spelling of 288960 in words is "two hundred eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 43 48 56 60 64 70 80 84 86 96 105 112 120 129 140 160 168 172 192 210 215 224 240 258 280 301 320 336 344 420 430 448 480 516 560 602 645 672 688 840 860 903 960 1032 1120 1204 1290 1344 1376 1505 1680 1720 1806 2064 2240 2408 2580 2752 3010 3360 3440 3612 4128 4515 4816 5160 6020 6720 6880 7224 8256 9030 9632 10320 12040 13760 14448 18060 19264 20640 24080 28896 36120 41280 48160 57792 72240 96320 144480 288960