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2980560 = 2435111129
BaseRepresentation
bin1011010111101011010000
312121102120010
423113223100
51230334220
6143514520
734222452
oct13275320
95542503
102980560
111756380
12bb8a40
1380485b
145782d2
153dd1e0
hex2d7ad0

2980560 has 80 divisors (see below), whose sum is σ = 10088640. Its totient is φ = 721920.

The previous prime is 2980553. The next prime is 2980573. The reversal of 2980560 is 650892.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2076 + ... + 3204.

It is an arithmetic number, because the mean of its divisors is an integer number (126108).

22980560 is an apocalyptic number.

2980560 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 2980560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044320).

2980560 is an abundant number, since it is smaller than the sum of its proper divisors (7108080).

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

2980560 is a wasteful number, since it uses less digits than its factorization.

2980560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2980560 is about 1726.4298421888. The cubic root of 2980560 is about 143.9127557947.

The spelling of 2980560 in words is "two million, nine hundred eighty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1129 1320 2258 2640 3387 4516 5645 6774 9032 11290 12419 13548 16935 18064 22580 24838 27096 33870 37257 45160 49676 54192 62095 67740 74514 90320 99352 124190 135480 149028 186285 198704 248380 270960 298056 372570 496760 596112 745140 993520 1490280 2980560