Search a number
-
+
1163920 = 24514549
BaseRepresentation
bin100011100001010010000
32012010121011
410130022100
5244221140
640540304
712615232
oct4341220
92163534
101163920
1172551a
12481694
13319a14
14224252
1517ecea
hex11c290

1163920 has 20 divisors (see below), whose sum is σ = 2706300. Its totient is φ = 465536.

The previous prime is 1163891. The next prime is 1163923. The reversal of 1163920 is 293611.

It can be written as a sum of positive squares in 2 ways, for example, as 712336 + 451584 = 844^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 1163891 and 1163900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1163923) 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, 7195 + ... + 7354.

It is an arithmetic number, because the mean of its divisors is an integer number (135315).

21163920 is an apocalyptic number.

1163920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1163920 is an abundant number, since it is smaller than the sum of its proper divisors (1542380).

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

1163920 is a wasteful number, since it uses less digits than its factorization.

1163920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14562 (or 14556 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 1163920 is about 1078.8512409040. The cubic root of 1163920 is about 105.1899810706.

The spelling of 1163920 in words is "one million, one hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14549 29098 58196 72745 116392 145490 232784 290980 581960 1163920