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1163968 = 26131399
BaseRepresentation
bin100011100001011000000
32012010122221
410130023000
5244221333
640540424
712615331
oct4341300
92163587
101163968
11725563
12481714
13319a50
14224288
1517ed2d
hex11c2c0

1163968 has 28 divisors (see below), whose sum is σ = 2489200. Its totient is φ = 536832.

The previous prime is 1163947. The next prime is 1163969. The reversal of 1163968 is 8693611.

It is not an unprimeable number, because it can be changed into a prime (1163969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133 + ... + 1531.

It is an arithmetic number, because the mean of its divisors is an integer number (88900).

21163968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244600).

1163968 is an abundant number, since it is smaller than the sum of its proper divisors (1325232).

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

1163968 is a wasteful number, since it uses less digits than its factorization.

1163968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1414 counting only the distinct ones).

The product of its digits is 7776, while the sum is 34.

The square root of 1163968 is about 1078.8734865590. The cubic root of 1163968 is about 105.1914270605.

The spelling of 1163968 in words is "one million, one hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1399 2798 5596 11192 18187 22384 36374 44768 72748 89536 145496 290992 581984 1163968