Search a number
-
+
2424780 = 2232519709
BaseRepresentation
bin1001001111111111001100
311120012011200
421033333030
51110043110
6123545500
726416221
oct11177714
94505150
102424780
111406856
1298b290
1366b8a7
14471948
1532d6c0
hex24ffcc

2424780 has 72 divisors (see below), whose sum is σ = 7753200. Its totient is φ = 611712.

The previous prime is 2424767. The next prime is 2424791. The reversal of 2424780 is 874242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3066 + ... + 3774.

22424780 is an apocalyptic number.

2424780 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 2424780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876600).

2424780 is an abundant number, since it is smaller than the sum of its proper divisors (5328420).

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

2424780 is a wasteful number, since it uses less digits than its factorization.

2424780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2424780 is about 1557.1705108947. The cubic root of 2424780 is about 134.3458061692.

The spelling of 2424780 in words is "two million, four hundred twenty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 709 855 1140 1418 1710 2127 2836 3420 3545 4254 6381 7090 8508 10635 12762 13471 14180 21270 25524 26942 31905 40413 42540 53884 63810 67355 80826 121239 127620 134710 161652 202065 242478 269420 404130 484956 606195 808260 1212390 2424780