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2122980 = 223541863
BaseRepresentation
bin1000000110010011100100
310222212011220
420012103210
51020413410
6113300340
724021306
oct10062344
93885156
102122980
111220032
128646b0
13594402
143d3976
152be070
hex2064e4

2122980 has 48 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 551680.

The previous prime is 2122979. The next prime is 2123027. The reversal of 2122980 is 892212.

It is a self number, because there is not a number n which added to its sum of digits gives 2122980.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2029 + ... + 2891.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

22122980 is an apocalyptic number.

2122980 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 2122980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2122980 is an abundant number, since it is smaller than the sum of its proper divisors (3973404).

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

2122980 is a wasteful number, since it uses less digits than its factorization.

2122980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2122980 is about 1457.0449546943. The cubic root of 2122980 is about 128.5233294508.

The spelling of 2122980 in words is "two million, one hundred twenty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 863 1230 1726 2460 2589 3452 4315 5178 8630 10356 12945 17260 25890 35383 51780 70766 106149 141532 176915 212298 353830 424596 530745 707660 1061490 2122980