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2085126 = 23537983
BaseRepresentation
bin111111101000100000110
310220221020220
413331010012
51013211001
6112405210
723503041
oct7750406
93827226
102085126
1111a464a
12846806
13580104
143c3c58
152b2c36
hex1fd106

2085126 has 32 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 665184.

The previous prime is 2085121. The next prime is 2085131. The reversal of 2085126 is 6215802.

It is an interprime number because it is at equal distance from previous prime (2085121) and next prime (2085131).

It is a junction number, because it is equal to n+sod(n) for n = 2085096 and 2085105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25081 + ... + 25163.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

22085126 is an apocalyptic number.

2085126 is an abundant number, since it is smaller than the sum of its proper divisors (2269434).

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

2085126 is a wasteful number, since it uses less digits than its factorization.

2085126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2085126 is about 1443.9965373920. The cubic root of 2085126 is about 127.7548612266.

It can be divided in two parts, 2085 and 126, that added together give a triangular number (2211 = T66).

The spelling of 2085126 in words is "two million, eighty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 53 79 83 106 158 159 166 237 249 318 474 498 4187 4399 6557 8374 8798 12561 13114 13197 19671 25122 26394 39342 347521 695042 1042563 2085126