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2085102 = 23461211
BaseRepresentation
bin111111101000011101110
310220221020000
413331003232
51013210402
6112405130
723503005
oct7750356
93827200
102085102
1111a4628
128467a6
135800b6
143c3c3c
152b2c1c
hex1fd0ee

2085102 has 40 divisors (see below), whose sum is σ = 4771272. Its totient is φ = 680400.

The previous prime is 2085089. The next prime is 2085121. The reversal of 2085102 is 2015802.

It is a Harshad number since it is a multiple of its sum of digits (18).

2085102 is an undulating number in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9777 + ... + 9987.

22085102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385636).

2085102 is an abundant number, since it is smaller than the sum of its proper divisors (2686170).

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

2085102 is a wasteful number, since it uses less digits than its factorization.

2085102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2085102 is about 1443.9882270988. The cubic root of 2085102 is about 127.7543710679.

It can be divided in two parts, 2085 and 102, that added together give a 7-th power (2187 = 37).

The spelling of 2085102 in words is "two million, eighty-five thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 211 366 422 549 633 1098 1266 1647 1899 3294 3798 4941 5697 9882 11394 12871 17091 25742 34182 38613 77226 115839 231678 347517 695034 1042551 2085102