Search a number
-
+
2980720 = 245193753
BaseRepresentation
bin1011010111101101110000
312121102210001
423113231300
51230340340
6143515344
734223101
oct13275560
95542701
102980720
111756506
12bb8b54
13804952
145783a8
153dd29a
hex2d7b70

2980720 has 80 divisors (see below), whose sum is σ = 7633440. Its totient is φ = 1078272.

The previous prime is 2980711. The next prime is 2980721. The reversal of 2980720 is 270892.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2980721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56214 + ... + 56266.

It is an arithmetic number, because the mean of its divisors is an integer number (95418).

22980720 is an apocalyptic number.

2980720 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 2980720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816720).

2980720 is an abundant number, since it is smaller than the sum of its proper divisors (4652720).

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

2980720 is a wasteful number, since it uses less digits than its factorization.

2980720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 2980720 is about 1726.4761799689. The cubic root of 2980720 is about 143.9153308844.

The spelling of 2980720 in words is "two million, nine hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 37 38 40 53 74 76 80 95 106 148 152 185 190 212 265 296 304 370 380 424 530 592 703 740 760 848 1007 1060 1406 1480 1520 1961 2014 2120 2812 2960 3515 3922 4028 4240 5035 5624 7030 7844 8056 9805 10070 11248 14060 15688 16112 19610 20140 28120 31376 37259 39220 40280 56240 74518 78440 80560 149036 156880 186295 298072 372590 596144 745180 1490360 2980720