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120960 = 273357
BaseRepresentation
bin11101100010000000
320010221000
4131202000
512332320
62332000
71012440
oct354200
9203830
10120960
1182974
125a000
1343098
1432120
1525c90
hex1d880

120960 has 128 divisors (see below), whose sum is σ = 489600. Its totient is φ = 27648.

The previous prime is 120947. The next prime is 120977. The reversal of 120960 is 69021.

Adding to 120960 its reverse (69021), we get a palindrome (189981).

It is a Jordan-Polya number, since it can be written as 7! ⋅ 4!.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

120960 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 15 ways as a sum of consecutive naturals, for example, 17277 + ... + 17283.

It is an arithmetic number, because the mean of its divisors is an integer number (3825).

2120960 is an apocalyptic number.

120960 is a gapful number since it is divisible by the number (10) 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 120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244800).

120960 is an abundant number, since it is smaller than the sum of its proper divisors (368640).

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

120960 is an equidigital number, since it uses as much as digits as its factorization.

120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 120960 is about 347.7930419085. The cubic root of 120960 is about 49.4554235977.

The spelling of 120960 in words is "one hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 84 90 96 105 108 112 120 126 128 135 140 144 160 168 180 189 192 210 216 224 240 252 270 280 288 315 320 336 360 378 384 420 432 448 480 504 540 560 576 630 640 672 720 756 840 864 896 945 960 1008 1080 1120 1152 1260 1344 1440 1512 1680 1728 1890 1920 2016 2160 2240 2520 2688 2880 3024 3360 3456 3780 4032 4320 4480 5040 5760 6048 6720 7560 8064 8640 10080 12096 13440 15120 17280 20160 24192 30240 40320 60480 120960