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4290104 = 237137183
BaseRepresentation
bin10000010111011000111000
322001221220202
4100113120320
52044240404
6231541332
751315410
oct20273070
98057822
104290104
112470245
12152a848
13b72930
147d9640
1559b21e
hex417638

4290104 has 64 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1653120.

The previous prime is 4290089. The next prime is 4290107. The reversal of 4290104 is 4010924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4290107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51647 + ... + 51729.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 24290104 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 4290104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

4290104 is an abundant number, since it is smaller than the sum of its proper divisors (5870536).

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

4290104 is a wasteful number, since it uses less digits than its factorization.

4290104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4290104 is about 2071.2566234052. The cubic root of 4290104 is about 162.4884914927.

The spelling of 4290104 in words is "four million, two hundred ninety thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 71 83 91 104 142 166 182 284 332 364 497 568 581 664 728 923 994 1079 1162 1846 1988 2158 2324 3692 3976 4316 4648 5893 6461 7384 7553 8632 11786 12922 15106 23572 25844 30212 41251 47144 51688 60424 76609 82502 153218 165004 306436 330008 536263 612872 1072526 2145052 4290104