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1003940 = 225771101
BaseRepresentation
bin11110101000110100100
31220000010222
43311012210
5224111230
633303512
711350640
oct3650644
91800128
101003940
11626303
12404b98
13291c62
141c1c20
1514c6e5
hexf51a4

1003940 has 48 divisors (see below), whose sum is σ = 2467584. Its totient is φ = 336000.

The previous prime is 1003931. The next prime is 1003943. The reversal of 1003940 is 493001.

1003940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003943) 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, 9890 + ... + 9990.

It is an arithmetic number, because the mean of its divisors is an integer number (51408).

21003940 is an apocalyptic number.

1003940 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 1003940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792).

1003940 is an abundant number, since it is smaller than the sum of its proper divisors (1463644).

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

1003940 is a wasteful number, since it uses less digits than its factorization.

1003940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1003940 is about 1001.9680633633. The cubic root of 1003940 is about 100.1311612254.

Adding to 1003940 its reverse (493001), we get a palindrome (1496941).

The spelling of 1003940 in words is "one million, three thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 101 140 142 202 284 355 404 497 505 707 710 994 1010 1414 1420 1988 2020 2485 2828 3535 4970 7070 7171 9940 14140 14342 28684 35855 50197 71710 100394 143420 200788 250985 501970 1003940