Search a number
-
+
1131920 = 24514149
BaseRepresentation
bin100010100010110010000
32010111200222
410110112100
5242210140
640132212
712423026
oct4242620
92114628
101131920
11703479
12467068
1330829a
14216716
151755b5
hex114590

1131920 has 20 divisors (see below), whose sum is σ = 2631900. Its totient is φ = 452736.

The previous prime is 1131919. The next prime is 1131937. The reversal of 1131920 is 291311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 781456 + 350464 = 884^2 + 592^2 .

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

It is an unprimeable number.

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, 6995 + ... + 7154.

It is an arithmetic number, because the mean of its divisors is an integer number (131595).

21131920 is an apocalyptic number.

1131920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131920 is an abundant number, since it is smaller than the sum of its proper divisors (1499980).

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

1131920 is a wasteful number, since it uses less digits than its factorization.

1131920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14162 (or 14156 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 1131920 is about 1063.9172900184. The cubic root of 1131920 is about 104.2170025170.

The spelling of 1131920 in words is "one million, one hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14149 28298 56596 70745 113192 141490 226384 282980 565960 1131920