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2085940 = 225104297
BaseRepresentation
bin111111101010000110100
310220222101001
413331100310
51013222230
6112413044
723505313
oct7752064
93828331
102085940
1111a521a
12847184
135805ac
143c427a
152b30ca
hex1fd434

2085940 has 12 divisors (see below), whose sum is σ = 4380516. Its totient is φ = 834368.

The previous prime is 2085931. The next prime is 2085943. The reversal of 2085940 is 495802.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 996004 + 1089936 = 998^2 + 1044^2 .

It is a super-2 number, since 2×20859402 = 8702291367200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2085899 and 2085908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52129 + ... + 52168.

It is an arithmetic number, because the mean of its divisors is an integer number (365043).

22085940 is an apocalyptic number.

2085940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2085940 is an abundant number, since it is smaller than the sum of its proper divisors (2294576).

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

2085940 is a wasteful number, since it uses less digits than its factorization.

2085940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104306 (or 104304 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2085940 is about 1444.2783665208. The cubic root of 2085940 is about 127.7714835519.

It can be divided in two parts, 2085 and 940, that added together give a square (3025 = 552).

The spelling of 2085940 in words is "two million, eighty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 104297 208594 417188 521485 1042970 2085940