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2842980 = 223572967
BaseRepresentation
bin1010110110000101100100
312100102211120
422312011210
51211433410
6140533540
733110400
oct12660544
95312746
102842980
111671a78
12b512b0
1378704a
14540100
153b2570
hex2b6164

2842980 has 72 divisors (see below), whose sum is σ = 9269568. Its totient is φ = 649152.

The previous prime is 2842963. The next prime is 2842991. The reversal of 2842980 is 892482.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2457 + ... + 3423.

It is an arithmetic number, because the mean of its divisors is an integer number (128744).

22842980 is an apocalyptic number.

2842980 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 2842980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634784).

2842980 is an abundant number, since it is smaller than the sum of its proper divisors (6426588).

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

2842980 is a wasteful number, since it uses less digits than its factorization.

2842980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2842980 is about 1686.1138751579. The cubic root of 2842980 is about 141.6634893559.

The spelling of 2842980 in words is "two million, eight hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 967 980 1470 1934 2901 2940 3868 4835 5802 6769 9670 11604 13538 14505 19340 20307 27076 29010 33845 40614 47383 58020 67690 81228 94766 101535 135380 142149 189532 203070 236915 284298 406140 473830 568596 710745 947660 1421490 2842980