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1320960 = 2113543
BaseRepresentation
bin101000010100000000000
32111010000110
411002200000
5314232320
644151320
714141124
oct5024000
92433013
101320960
11822503
12538540
13373344
14265584
151b15e0
hex142800

1320960 has 96 divisors (see below), whose sum is σ = 4324320. Its totient is φ = 344064.

The previous prime is 1320947. The next prime is 1320961. The reversal of 1320960 is 690231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (1320961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30699 + ... + 30741.

It is an arithmetic number, because the mean of its divisors is an integer number (45045).

21320960 is an apocalyptic number.

1320960 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 1320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162160).

1320960 is an abundant number, since it is smaller than the sum of its proper divisors (3003360).

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

1320960 is an equidigital number, since it uses as much as digits as its factorization.

1320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1320960 is about 1149.3302397484. The cubic root of 1320960 is about 109.7227176059.

The spelling of 1320960 in words is "one million, three hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 256 258 320 344 384 430 480 512 516 640 645 688 768 860 960 1024 1032 1280 1290 1376 1536 1720 1920 2048 2064 2560 2580 2752 3072 3440 3840 4128 5120 5160 5504 6144 6880 7680 8256 10240 10320 11008 13760 15360 16512 20640 22016 27520 30720 33024 41280 44032 55040 66048 82560 88064 110080 132096 165120 220160 264192 330240 440320 660480 1320960