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1138020 = 2235131459
BaseRepresentation
bin100010101110101100100
32010211001220
410111311210
5242404040
640220340
712446562
oct4256544
92124056
101138020
11708014
1246a6b0
1330acb0
14218a32
151772d0
hex115d64

1138020 has 48 divisors (see below), whose sum is σ = 3433920. Its totient is φ = 279936.

The previous prime is 1138019. The next prime is 1138057. The reversal of 1138020 is 208311.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51 + ... + 1509.

It is an arithmetic number, because the mean of its divisors is an integer number (71540).

21138020 is an apocalyptic number.

1138020 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 1138020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716960).

1138020 is an abundant number, since it is smaller than the sum of its proper divisors (2295900).

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

1138020 is a wasteful number, since it uses less digits than its factorization.

1138020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1482 counting only the distinct ones).

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

The square root of 1138020 is about 1066.7802022910. The cubic root of 1138020 is about 104.4038782488.

The spelling of 1138020 in words is "one million, one hundred thirty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1459 2918 4377 5836 7295 8754 14590 17508 18967 21885 29180 37934 43770 56901 75868 87540 94835 113802 189670 227604 284505 379340 569010 1138020