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4890105 = 335113789
BaseRepresentation
bin10010101001110111111001
3100012102222000
4102221313321
52222440410
6252451213
756364603
oct22516771
910172860
104890105
112840010
121779b09
131022a6c
14914173
15668dc0
hex4a9df9

4890105 has 64 divisors (see below), whose sum is σ = 9849600. Its totient is φ = 2280960.

The previous prime is 4890103. The next prime is 4890113. The reversal of 4890105 is 5010984.

4890105 = T286 + T287 + ... + T374.

It is not a de Polignac number, because 4890105 - 21 = 4890103 is a prime.

It is a super-2 number, since 2×48901052 = 47826253822050, which contains 22 as substring.

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

4890105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4890103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54901 + ... + 54989.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

Almost surely, 24890105 is an apocalyptic number.

4890105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4890105 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

4890105 is a wasteful number, since it uses less digits than its factorization.

4890105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 4890105 is about 2211.3581799428. The cubic root of 4890105 is about 169.7355172251.

The spelling of 4890105 in words is "four million, eight hundred ninety thousand, one hundred five".

Divisors: 1 3 5 9 11 15 27 33 37 45 55 89 99 111 135 165 185 267 297 333 407 445 495 555 801 979 999 1221 1335 1485 1665 2035 2403 2937 3293 3663 4005 4895 4995 6105 8811 9879 10989 12015 14685 16465 18315 26433 29637 36223 44055 49395 54945 88911 108669 132165 148185 181115 326007 444555 543345 978021 1630035 4890105