Search a number
-
+
1073988 = 223229833
BaseRepresentation
bin100000110001101000100
32000120020100
410012031010
5233331423
635004100
712062106
oct4061504
92016210
101073988
116739a3
12439630
132b7ac6
141dd576
15163343
hex106344

1073988 has 18 divisors (see below), whose sum is σ = 2714894. Its totient is φ = 357984.

The previous prime is 1073983. The next prime is 1074001. The reversal of 1073988 is 8893701.

It can be written as a sum of positive squares in only one way, i.e., 887364 + 186624 = 942^2 + 432^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 29833 = 1073988 / (1 + 0 + 7 + 3 + 9 + 8 + 8).

It is not an unprimeable number, because it can be changed into a prime (1073983) 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 5 ways as a sum of consecutive naturals, for example, 14881 + ... + 14952.

21073988 is an apocalyptic number.

1073988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1073988 is an abundant number, since it is smaller than the sum of its proper divisors (1640906).

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

1073988 is a wasteful number, since it uses less digits than its factorization.

1073988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29843 (or 29838 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1073988 is about 1036.3339230190. Note that the first 3 decimals coincide. The cubic root of 1073988 is about 102.4078251263.

It can be divided in two parts, 107 and 3988, that added together give a triangular number (4095 = T90).

The spelling of 1073988 in words is "one million, seventy-three thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 29833 59666 89499 119332 178998 268497 357996 536994 1073988