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2959056 = 243220549
BaseRepresentation
bin1011010010011011010000
312120100001200
423102123100
51224142211
6143231200
734102662
oct13223320
95510050
102959056
111741201
12ba8500
137c7b29
14570532
153d6b56
hex2d26d0

2959056 has 30 divisors (see below), whose sum is σ = 8281650. Its totient is φ = 986304.

The previous prime is 2959051. The next prime is 2959069. The reversal of 2959056 is 6509592.

It can be written as a sum of positive squares in only one way, i.e., 2944656 + 14400 = 1716^2 + 120^2 .

It is a super-2 number, since 2×29590562 = 17512024822272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2959056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2959051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10131 + ... + 10418.

It is an arithmetic number, because the mean of its divisors is an integer number (276055).

22959056 is an apocalyptic number.

It is an amenable number.

2959056 is an abundant number, since it is smaller than the sum of its proper divisors (5322594).

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

2959056 is a wasteful number, since it uses less digits than its factorization.

2959056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20563 (or 20554 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 2959056 is about 1720.1906871042. The cubic root of 2959056 is about 143.5658218434.

It can be divided in two parts, 29590 and 56, that added together give a triangular number (29646 = T243).

The spelling of 2959056 in words is "two million, nine hundred fifty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 20549 41098 61647 82196 123294 164392 184941 246588 328784 369882 493176 739764 986352 1479528 2959056