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1038020 = 225174371
BaseRepresentation
bin11111101011011000100
31221201220012
43331123010
5231204040
634125352
711552204
oct3753304
91851805
101038020
11649975
12420858
132a4619
141d0404
15157865
hexfd6c4

1038020 has 48 divisors (see below), whose sum is σ = 2395008. Its totient is φ = 376320.

The previous prime is 1038019. The next prime is 1038029. The reversal of 1038020 is 208301.

It is a junction number, because it is equal to n+sod(n) for n = 1037986 and 1038004.

It is not an unprimeable number, because it can be changed into a prime (1038029) 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, 14585 + ... + 14655.

It is an arithmetic number, because the mean of its divisors is an integer number (49896).

21038020 is an apocalyptic number.

1038020 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 1038020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197504).

1038020 is an abundant number, since it is smaller than the sum of its proper divisors (1356988).

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

1038020 is a wasteful number, since it uses less digits than its factorization.

1038020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1038020 is about 1018.8326653578. The cubic root of 1038020 is about 101.2516028807.

The spelling of 1038020 in words is "one million, thirty-eight thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 43 68 71 85 86 142 170 172 215 284 340 355 430 710 731 860 1207 1420 1462 2414 2924 3053 3655 4828 6035 6106 7310 12070 12212 14620 15265 24140 30530 51901 61060 103802 207604 259505 519010 1038020