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2006856 = 233419163
BaseRepresentation
bin111101001111101001000
310202221220000
413221331020
51003204411
6111003000
723025615
oct7517510
93687800
102006856
111150865
12809460
135535b7
143a350c
15299956
hex1e9f48

2006856 has 80 divisors (see below), whose sum is σ = 5953200. Its totient is φ = 629856.

The previous prime is 2006831. The next prime is 2006869. The reversal of 2006856 is 6586002.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 12231 + ... + 12393.

It is an arithmetic number, because the mean of its divisors is an integer number (74415).

22006856 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 2006856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976600).

2006856 is an abundant number, since it is smaller than the sum of its proper divisors (3946344).

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

2006856 is a wasteful number, since it uses less digits than its factorization.

2006856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2006856 is about 1416.6354506365. The cubic root of 2006856 is about 126.1359077744.

It can be divided in two parts, 200 and 6856, that added together give a square (7056 = 842).

The spelling of 2006856 in words is "two million, six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 163 171 216 228 324 326 342 456 489 513 648 652 684 978 1026 1304 1368 1467 1539 1956 2052 2934 3078 3097 3912 4104 4401 5868 6156 6194 8802 9291 11736 12312 12388 13203 17604 18582 24776 26406 27873 35208 37164 52812 55746 74328 83619 105624 111492 167238 222984 250857 334476 501714 668952 1003428 2006856