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2905128 = 2332157257
BaseRepresentation
bin1011000101010000101000
312110121002100
423011100220
51220431003
6142133400
733456522
oct13052050
95417070
102905128
111704736
12b81260
137a9415
14558a12
153c5ba3
hex2c5428

2905128 has 48 divisors (see below), whose sum is σ = 7948980. Its totient is φ = 958464.

The previous prime is 2905109. The next prime is 2905139. The reversal of 2905128 is 8215092.

It can be written as a sum of positive squares in 2 ways, for example, as 2762244 + 142884 = 1662^2 + 378^2 .

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11176 + ... + 11432.

22905128 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 2905128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974490).

2905128 is an abundant number, since it is smaller than the sum of its proper divisors (5043852).

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

2905128 is a wasteful number, since it uses less digits than its factorization.

2905128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 419 counting only the distinct ones).

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

The square root of 2905128 is about 1704.4436042298. The cubic root of 2905128 is about 142.6883198081.

The spelling of 2905128 in words is "two million, nine hundred five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 257 314 471 514 628 771 942 1028 1256 1413 1542 1884 2056 2313 2826 3084 3768 4626 5652 6168 9252 11304 18504 40349 80698 121047 161396 242094 322792 363141 484188 726282 968376 1452564 2905128