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2085776 = 247111693
BaseRepresentation
bin111111101001110010000
310220222010222
413331032100
51013221101
6112412212
723504660
oct7751620
93828128
102085776
1111a5090
12847068
135804b4
143c41a0
152b301b
hex1fd390

2085776 has 40 divisors (see below), whose sum is σ = 5041344. Its totient is φ = 812160.

The previous prime is 2085757. The next prime is 2085779. The reversal of 2085776 is 6775802.

It is not an unprimeable number, because it can be changed into a prime (2085779) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386 + ... + 2078.

22085776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520672).

2085776 is an abundant number, since it is smaller than the sum of its proper divisors (2955568).

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

2085776 is a wasteful number, since it uses less digits than its factorization.

2085776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 2085776 is about 1444.2215896461. The cubic root of 2085776 is about 127.7681349301.

The spelling of 2085776 in words is "two million, eighty-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 1693 3386 6772 11851 13544 18623 23702 27088 37246 47404 74492 94808 130361 148984 189616 260722 297968 521444 1042888 2085776