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2085136 = 24194
BaseRepresentation
bin111111101000100010000
310220221021021
413331010100
51013211021
6112405224
723503054
oct7750420
93827237
102085136
1111a4659
12846814
13580111
143c3c64
152b2c41
hex1fd110

2085136 has 25 divisors (see below), whose sum is σ = 4264391. Its totient is φ = 987696.

The previous prime is 2085133. The next prime is 2085143. The reversal of 2085136 is 6315802.

It is a happy number.

The square root of 2085136 is 1444.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2085136.

It is not an unprimeable number, because it can be changed into a prime (2085131) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 109735 + ... + 109753.

22085136 is an apocalyptic number.

2085136 is the 1444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085136

2085136 is an abundant number, since it is smaller than the sum of its proper divisors (2179255).

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

2085136 is an frugal number, since it uses more digits than its factorization.

2085136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The cubic root of 2085136 is about 127.7550654584.

Multiplying 2085136 by its sum of digits (25), we get a square (52128400 = 72202).

The spelling of 2085136 in words is "two million, eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5776 6859 13718 27436 54872 109744 130321 260642 521284 1042568 2085136