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3090906 = 2337131737
BaseRepresentation
bin1011110010100111011010
312211000221000
423302213122
51242402111
6150125430
735162250
oct13624732
95730830
103090906
111821275
121050876
13842b50
145a65d0
15410c56
hex2f29da

3090906 has 128 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 746496.

The previous prime is 3090887. The next prime is 3090959. The reversal of 3090906 is 6090903.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3090906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83520 + ... + 83556.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

Almost surely, 23090906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3090906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3090906 is an abundant number, since it is smaller than the sum of its proper divisors (6102054).

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

3090906 is a wasteful number, since it uses less digits than its factorization.

3090906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3090906 is about 1758.0972669338. The cubic root of 3090906 is about 145.6672537288.

The spelling of 3090906 in words is "three million, ninety thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 27 34 37 39 42 51 54 63 74 78 91 102 111 117 119 126 153 182 189 221 222 234 238 259 273 306 333 351 357 378 442 459 481 518 546 629 663 666 702 714 777 819 918 962 999 1071 1258 1326 1443 1547 1554 1638 1887 1989 1998 2142 2331 2457 2886 3094 3213 3367 3774 3978 4329 4403 4641 4662 4914 5661 5967 6426 6734 6993 8177 8658 8806 9282 10101 11322 11934 12987 13209 13923 13986 16354 16983 20202 24531 25974 26418 27846 30303 33966 39627 41769 49062 57239 60606 73593 79254 83538 90909 114478 118881 147186 171717 181818 220779 237762 343434 441558 515151 1030302 1545453 3090906