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2004860106 = 233471395683
BaseRepresentation
bin111011101111111…
…1011110011001010
312011201111110001000
41313133323303022
513101221010411
6530535035430
7100453013124
oct16737736312
95151443030
102004860106
11939767087
1247b50bb76
1325c489572
141503a2214
15bb022956
hex777fbcca

2004860106 has 64 divisors (see below), whose sum is σ = 4583577600. Its totient is φ = 649248048.

The previous prime is 2004860087. The next prime is 2004860129. The reversal of 2004860106 is 6010684002.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2004860106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349941 + ... + 355623.

It is an arithmetic number, because the mean of its divisors is an integer number (71618400).

Almost surely, 22004860106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004860106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291788800).

2004860106 is an abundant number, since it is smaller than the sum of its proper divisors (2578717494).

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

2004860106 is a wasteful number, since it uses less digits than its factorization.

2004860106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2004860106 is about 44775.6642161789. The cubic root of 2004860106 is about 1260.9407826479.

The spelling of 2004860106 in words is "two billion, four million, eight hundred sixty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 47 54 94 139 141 278 282 417 423 834 846 1251 1269 2502 2538 3753 5683 6533 7506 11366 13066 17049 19599 34098 39198 51147 58797 102294 117594 153441 176391 267101 306882 352782 534202 789937 801303 1579874 1602606 2369811 2403909 4739622 4807818 7109433 7211727 14218866 14423454 21328299 37127039 42656598 74254078 111381117 222762234 334143351 668286702 1002430053 2004860106