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1130820 = 223547401
BaseRepresentation
bin100010100000101000100
32010110012020
410110011010
5242141240
640123140
712416565
oct4240504
92113166
101130820
11702669
124664b0
13307932
1421616c
151750d0
hex114144

1130820 has 48 divisors (see below), whose sum is σ = 3241728. Its totient is φ = 294400.

The previous prime is 1130819. The next prime is 1130827. The reversal of 1130820 is 280311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1130820.

It is not an unprimeable number, because it can be changed into a prime (1130827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2620 + ... + 3020.

It is an arithmetic number, because the mean of its divisors is an integer number (67536).

21130820 is an apocalyptic number.

1130820 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 1130820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620864).

1130820 is an abundant number, since it is smaller than the sum of its proper divisors (2110908).

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

1130820 is a wasteful number, since it uses less digits than its factorization.

1130820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1130820 is about 1063.4002068836. The cubic root of 1130820 is about 104.1832322099.

The spelling of 1130820 in words is "one million, one hundred thirty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 401 470 564 705 802 940 1203 1410 1604 2005 2406 2820 4010 4812 6015 8020 12030 18847 24060 37694 56541 75388 94235 113082 188470 226164 282705 376940 565410 1130820