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2995128 = 2332172447
BaseRepresentation
bin1011011011001110111000
312122011112200
423123032320
51231321003
6144110200
734313103
oct13331670
95564480
102995128
111766314
121005360
1380b386
1457d73a
153e26a3
hex2db3b8

2995128 has 48 divisors (see below), whose sum is σ = 8592480. Its totient is φ = 939264.

The previous prime is 2995121. The next prime is 2995133. The reversal of 2995128 is 8215992.

2995128 is a nontrivial binomial coefficient, being equal to C(2448, 2).

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

It is a junction number, because it is equal to n+sod(n) for n = 2995092 and 2995101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2995121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1 + ... + 2447.

It is an arithmetic number, because the mean of its divisors is an integer number (179010).

22995128 is an apocalyptic number.

2995128 is the 2447-th triangular number and also the 1224-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2995128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296240).

2995128 is an abundant number, since it is smaller than the sum of its proper divisors (5597352).

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

2995128 is a wasteful number, since it uses less digits than its factorization.

2995128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2469 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 2995128 is about 1730.6438108403. The cubic root of 2995128 is about 144.1468409519.

The spelling of 2995128 in words is "two million, nine hundred ninety-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 2447 4894 7341 9788 14682 19576 22023 29364 41599 44046 58728 83198 88092 124797 166396 176184 249594 332792 374391 499188 748782 998376 1497564 2995128