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2988720 = 243257593
BaseRepresentation
bin1011011001101010110000
312121211202100
423121222300
51231114340
6144020400
734255320
oct13315260
95554670
102988720
111761519
121001700
13808497
1457b280
153e0830
hex2d9ab0

2988720 has 120 divisors (see below), whose sum is σ = 11490336. Its totient is φ = 681984.

The previous prime is 2988707. The next prime is 2988721. The reversal of 2988720 is 278892.

2988720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (2988721) 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 23 ways as a sum of consecutive naturals, for example, 4744 + ... + 5336.

22988720 is an apocalyptic number.

2988720 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 2988720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745168).

2988720 is an abundant number, since it is smaller than the sum of its proper divisors (8501616).

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

2988720 is a wasteful number, since it uses less digits than its factorization.

2988720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2988720 is about 1728.7914854024. The cubic root of 2988720 is about 144.0439680552.

The spelling of 2988720 in words is "two million, nine hundred eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 593 630 720 840 1008 1186 1260 1680 1779 2372 2520 2965 3558 4151 4744 5040 5337 5930 7116 8302 8895 9488 10674 11860 12453 14232 16604 17790 20755 21348 23720 24906 26685 28464 33208 35580 37359 41510 42696 47440 49812 53370 62265 66416 71160 74718 83020 85392 99624 106740 124530 142320 149436 166040 186795 199248 213480 249060 298872 332080 373590 426960 498120 597744 747180 996240 1494360 2988720