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1130920 = 23572577
BaseRepresentation
bin100010100000110101000
32010110022221
410110012220
5242142140
640123424
712420100
oct4240650
92113287
101130920
1170274a
12466574
133079ab
14216200
1517514a
hex1141a8

1130920 has 48 divisors (see below), whose sum is σ = 2965140. Its totient is φ = 387072.

The previous prime is 1130863. The next prime is 1130929. The reversal of 1130920 is 290311.

It can be written as a sum of positive squares in 2 ways, for example, as 1044484 + 86436 = 1022^2 + 294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1130894 and 1130903.

It is not an unprimeable number, because it can be changed into a prime (1130929) 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 11 ways as a sum of consecutive naturals, for example, 1672 + ... + 2248.

21130920 is an apocalyptic number.

1130920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482570).

1130920 is an abundant number, since it is smaller than the sum of its proper divisors (1834220).

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

1130920 is a wasteful number, since it uses less digits than its factorization.

1130920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1130920 is about 1063.4472248306. The cubic root of 1130920 is about 104.1863031425.

The spelling of 1130920 in words is "one million, one hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 577 980 1154 1960 2308 2885 4039 4616 5770 8078 11540 16156 20195 23080 28273 32312 40390 56546 80780 113092 141365 161560 226184 282730 565460 1130920