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1128960 = 2932572
BaseRepresentation
bin100010011101000000000
32010100122100
410103220000
5242111320
640110400
712411300
oct4235000
92110570
101128960
11701228
12465400
13306b31
14215600
15174790
hex113a00

1128960 has 180 divisors, whose sum is σ = 4548258. Its totient is φ = 258048.

The previous prime is 1128949. The next prime is 1128977. The reversal of 1128960 is 698211.

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 112896 = 1008^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 161277 + ... + 161283.

21128960 is an apocalyptic number.

1128960 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 1128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274129).

1128960 is an abundant number, since it is smaller than the sum of its proper divisors (3419298).

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

1128960 is an equidigital number, since it uses as much as digits as its factorization.

1128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1128960 is about 1062.5252938166. The cubic root of 1128960 is about 104.1260798325.

The spelling of 1128960 in words is "one million, one hundred twenty-eight thousand, nine hundred sixty".