Search a number
-
+
1035140 = 22573709
BaseRepresentation
bin11111100101110000100
31221120221112
43330232010
5231111030
634104152
711540621
oct3745604
91846845
101035140
11647797
1241b058
132a3212
141cd348
15156a95
hexfcb84

1035140 has 24 divisors (see below), whose sum is σ = 2206680. Its totient is φ = 407808.

The previous prime is 1035131. The next prime is 1035163. The reversal of 1035140 is 415301.

It can be written as a sum of positive squares in 4 ways, for example, as 23104 + 1012036 = 152^2 + 1006^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1106 + ... + 1814.

It is an arithmetic number, because the mean of its divisors is an integer number (91945).

21035140 is an apocalyptic number.

1035140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1035140 is an abundant number, since it is smaller than the sum of its proper divisors (1171540).

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

1035140 is a wasteful number, since it uses less digits than its factorization.

1035140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1035140 is about 1017.4183013884. The cubic root of 1035140 is about 101.1578748473.

The spelling of 1035140 in words is "one million, thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 709 730 1418 1460 2836 3545 7090 14180 51757 103514 207028 258785 517570 1035140