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2890736 = 241937257
BaseRepresentation
bin1011000001101111110000
312102212100022
423001233300
51220000421
6141543012
733366542
oct13015760
95385308
102890736
1116a4942
12b74a68
137a29c4
14553692
153c17ab
hex2c1bf0

2890736 has 40 divisors (see below), whose sum is σ = 6078480. Its totient is φ = 1327104.

The previous prime is 2890711. The next prime is 2890739. The reversal of 2890736 is 6370982.

2890736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2890696 and 2890705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11120 + ... + 11376.

It is an arithmetic number, because the mean of its divisors is an integer number (151962).

22890736 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 2890736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039240).

2890736 is an abundant number, since it is smaller than the sum of its proper divisors (3187744).

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

2890736 is a wasteful number, since it uses less digits than its factorization.

2890736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 2890736 is about 1700.2164568078. The cubic root of 2890736 is about 142.4523037254.

The spelling of 2890736 in words is "two million, eight hundred ninety thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 257 296 304 514 592 703 1028 1406 2056 2812 4112 4883 5624 9509 9766 11248 19018 19532 38036 39064 76072 78128 152144 180671 361342 722684 1445368 2890736