Search a number
-
+
1037268 = 223228813
BaseRepresentation
bin11111101001111010100
31221200212100
43331033110
5231143033
634122100
711550051
oct3751724
91850770
101037268
11649351
12420330
132a418b
141d0028
15157513
hexfd3d4

1037268 has 18 divisors (see below), whose sum is σ = 2622074. Its totient is φ = 345744.

The previous prime is 1037261. The next prime is 1037273. The reversal of 1037268 is 8627301.

It can be written as a sum of positive squares in only one way, i.e., 725904 + 311364 = 852^2 + 558^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1037261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14371 + ... + 14442.

21037268 is an apocalyptic number.

1037268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1037268 is an abundant number, since it is smaller than the sum of its proper divisors (1584806).

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

1037268 is a wasteful number, since it uses less digits than its factorization.

1037268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28823 (or 28818 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1037268 is about 1018.4635486850. The cubic root of 1037268 is about 101.2271461908.

It can be divided in two parts, 10372 and 68, that added together give a triangular number (10440 = T144).

The spelling of 1037268 in words is "one million, thirty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 28813 57626 86439 115252 172878 259317 345756 518634 1037268