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2922080 = 25572609
BaseRepresentation
bin1011001001011001100000
312111110100012
423021121200
51222001310
6142344052
733560120
oct13113140
95443305
102922080
111716447
12b8b028
137b4055
14560c80
153cac05
hex2c9660

2922080 has 48 divisors (see below), whose sum is σ = 7892640. Its totient is φ = 1001472.

The previous prime is 2922077. The next prime is 2922097. The reversal of 2922080 is 802292.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185 + ... + 2424.

It is an arithmetic number, because the mean of its divisors is an integer number (164430).

22922080 is an apocalyptic number.

2922080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2922080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946320).

2922080 is an abundant number, since it is smaller than the sum of its proper divisors (4970560).

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

2922080 is a wasteful number, since it uses less digits than its factorization.

2922080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2922080 is about 1709.4092546842. The cubic root of 2922080 is about 142.9653199681.

It can be divided in two parts, 2 and 922080, that multiplied together give a triangular number (1844160 = T1920).

The spelling of 2922080 in words is "two million, nine hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2609 5218 10436 13045 18263 20872 26090 36526 41744 52180 73052 83488 91315 104360 146104 182630 208720 292208 365260 417440 584416 730520 1461040 2922080