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2489920 = 26531251
BaseRepresentation
bin1001011111111001000000
311200111112021
421133321000
51114134140
6125211224
730110146
oct11377100
94614467
102489920
111450794
12a00b14
13692434
1448b596
15342b4a
hex25fe40

2489920 has 56 divisors (see below), whose sum is σ = 6144768. Its totient is φ = 960000.

The previous prime is 2489909. The next prime is 2489923. The reversal of 2489920 is 299842.

2489920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2489923) 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, 9795 + ... + 10045.

It is an arithmetic number, because the mean of its divisors is an integer number (109728).

22489920 is an apocalyptic number.

2489920 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 2489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072384).

2489920 is an abundant number, since it is smaller than the sum of its proper divisors (3654848).

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

2489920 is a wasteful number, since it uses less digits than its factorization.

2489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 2489920 is about 1577.9480346323. The cubic root of 2489920 is about 135.5382262578.

The spelling of 2489920 in words is "two million, four hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 251 310 320 496 502 620 992 1004 1240 1255 1984 2008 2480 2510 4016 4960 5020 7781 8032 9920 10040 15562 16064 20080 31124 38905 40160 62248 77810 80320 124496 155620 248992 311240 497984 622480 1244960 2489920