Search a number
-
+
2085096 = 2331341163
BaseRepresentation
bin111111101000011101000
310220221012210
413331003220
51013210341
6112405120
723502666
oct7750350
93827183
102085096
1111a4622
128467a0
135800b0
143c3c36
152b2c16
hex1fd0e8

2085096 has 64 divisors (see below), whose sum is σ = 5785920. Its totient is φ = 622080.

The previous prime is 2085089. The next prime is 2085121. The reversal of 2085096 is 6905802.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12711 + ... + 12873.

It is an arithmetic number, because the mean of its divisors is an integer number (90405).

22085096 is an apocalyptic number.

2085096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892960).

2085096 is an abundant number, since it is smaller than the sum of its proper divisors (3700824).

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

2085096 is a wasteful number, since it uses less digits than its factorization.

2085096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2085096 is about 1443.9861495181. The cubic root of 2085096 is about 127.7542485276.

The spelling of 2085096 in words is "two million, eighty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 163 164 246 312 326 328 489 492 533 652 978 984 1066 1304 1599 1956 2119 2132 3198 3912 4238 4264 6357 6396 6683 8476 12714 12792 13366 16952 20049 25428 26732 40098 50856 53464 80196 86879 160392 173758 260637 347516 521274 695032 1042548 2085096