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2989980 = 2233572113
BaseRepresentation
bin1011011001111110011100
312121220111000
423121332130
51231134410
6144030300
734262100
oct13317634
95556430
102989980
111762464
121002390
13808c26
1457b900
153e0dc0
hex2d9f9c

2989980 has 144 divisors (see below), whose sum is σ = 10916640. Its totient is φ = 677376.

The previous prime is 2989963. The next prime is 2989997. The reversal of 2989980 is 899892.

It is an interprime number because it is at equal distance from previous prime (2989963) and next prime (2989997).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26404 + ... + 26516.

It is an arithmetic number, because the mean of its divisors is an integer number (75810).

22989980 is an apocalyptic number.

2989980 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 2989980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458320).

2989980 is an abundant number, since it is smaller than the sum of its proper divisors (7926660).

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

2989980 is a wasteful number, since it uses less digits than its factorization.

2989980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 2989980 is about 1729.1558634201. The cubic root of 2989980 is about 144.0642074777.

It can be divided in two parts, 2989 and 980, that added together give a square (3969 = 632).

The spelling of 2989980 in words is "two million, nine hundred eighty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 113 126 135 140 147 180 189 196 210 226 245 252 270 294 315 339 378 420 441 452 490 540 565 588 630 678 735 756 791 882 945 980 1017 1130 1260 1323 1356 1470 1582 1695 1764 1890 2034 2205 2260 2373 2646 2940 3051 3164 3390 3780 3955 4068 4410 4746 5085 5292 5537 6102 6615 6780 7119 7910 8820 9492 10170 11074 11865 12204 13230 14238 15255 15820 16611 20340 21357 22148 23730 26460 27685 28476 30510 33222 35595 42714 47460 49833 55370 61020 66444 71190 83055 85428 99666 106785 110740 142380 149499 166110 199332 213570 249165 298998 332220 427140 498330 597996 747495 996660 1494990 2989980