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2420560 = 24579383
BaseRepresentation
bin1001001110111101010000
311112222101101
421032331100
51104424220
6123514144
726401012
oct11167520
94488341
102420560
11140366a
12988954
136699ac
144701b2
1532c30a
hex24ef50

2420560 has 40 divisors (see below), whose sum is σ = 5713920. Its totient is φ = 953472.

The previous prime is 2420557. The next prime is 2420567. The reversal of 2420560 is 650242.

2420560 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 (40).

It is a super-2 number, since 2×24205602 = 11718221427200, which contains 22 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420567) 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 7 ways as a sum of consecutive naturals, for example, 6129 + ... + 6511.

It is an arithmetic number, because the mean of its divisors is an integer number (142848).

22420560 is an apocalyptic number.

2420560 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 2420560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960).

2420560 is an abundant number, since it is smaller than the sum of its proper divisors (3293360).

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

2420560 is a wasteful number, since it uses less digits than its factorization.

2420560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2420560 is about 1555.8148990159. The cubic root of 2420560 is about 134.2678240410.

The spelling of 2420560 in words is "two million, four hundred twenty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 383 395 632 766 790 1264 1532 1580 1915 3064 3160 3830 6128 6320 7660 15320 30257 30640 60514 121028 151285 242056 302570 484112 605140 1210280 2420560