Search a number
-
+
2119280 = 24559449
BaseRepresentation
bin1000000101011001110000
310222200002212
420011121300
51020304110
6113231252
724004442
oct10053160
93880085
102119280
111218279
12862528
13592817
143d2492
152bce05
hex205670

2119280 has 40 divisors (see below), whose sum is σ = 5022000. Its totient is φ = 831488.

The previous prime is 2119267. The next prime is 2119301. The reversal of 2119280 is 829112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4496 + ... + 4944.

It is an arithmetic number, because the mean of its divisors is an integer number (125550).

22119280 is an apocalyptic number.

2119280 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 2119280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511000).

2119280 is an abundant number, since it is smaller than the sum of its proper divisors (2902720).

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

2119280 is a wasteful number, since it uses less digits than its factorization.

2119280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 2119280 is about 1455.7747078446. The cubic root of 2119280 is about 128.4486211247.

The spelling of 2119280 in words is "two million, one hundred nineteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 449 472 590 898 944 1180 1796 2245 2360 3592 4490 4720 7184 8980 17960 26491 35920 52982 105964 132455 211928 264910 423856 529820 1059640 2119280