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2971980 = 22325111979
BaseRepresentation
bin1011010101100101001100
312120222210100
423111211030
51230100410
6143411100
734155444
oct13254514
95528710
102971980
11174a990
12bb3a90
1380098b
14575124
153da8c0
hex2d594c

2971980 has 144 divisors (see below), whose sum is σ = 10483200. Its totient is φ = 673920.

The previous prime is 2971973. The next prime is 2971987. The reversal of 2971980 is 891792.

It is a happy number.

2971980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2971973) and next prime (2971987).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2971987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37581 + ... + 37659.

It is an arithmetic number, because the mean of its divisors is an integer number (72800).

22971980 is an apocalyptic number.

2971980 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 2971980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241600).

2971980 is an abundant number, since it is smaller than the sum of its proper divisors (7511220).

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

2971980 is a wasteful number, since it uses less digits than its factorization.

2971980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 2971980 is about 1723.9431545153. The cubic root of 2971980 is about 143.7745314152.

The spelling of 2971980 in words is "two million, nine hundred seventy-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 79 90 95 99 110 114 132 158 165 171 180 190 198 209 220 228 237 285 316 330 342 380 395 396 418 474 495 570 627 660 684 711 790 836 855 869 948 990 1045 1140 1185 1254 1422 1501 1580 1710 1738 1881 1980 2090 2370 2508 2607 2844 3002 3135 3420 3476 3555 3762 4180 4345 4503 4740 5214 6004 6270 7110 7505 7524 7821 8690 9006 9405 10428 12540 13035 13509 14220 15010 15642 16511 17380 18012 18810 22515 26070 27018 30020 31284 33022 37620 39105 45030 49533 52140 54036 66044 67545 78210 82555 90060 99066 135090 148599 156420 165110 198132 247665 270180 297198 330220 495330 594396 742995 990660 1485990 2971980