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2490020 = 2251361157
BaseRepresentation
bin1001011111111010100100
311200111122222
421133322210
51114140040
6125211512
730110351
oct11377244
94614588
102490020
111450875
12a00b98
136924b0
1448b628
15342bb5
hex25fea4

2490020 has 48 divisors (see below), whose sum is σ = 5760048. Its totient is φ = 898560.

The previous prime is 2489999. The next prime is 2490023. The reversal of 2490020 is 200942.

2490020 = 132 + 142 + ... + 1952.

It can be written as a sum of positive squares in 8 ways, for example, as 972196 + 1517824 = 986^2 + 1232^2 .

It is not an unprimeable number, because it can be changed into a prime (2490023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15782 + ... + 15938.

It is an arithmetic number, because the mean of its divisors is an integer number (120001).

22490020 is an apocalyptic number.

2490020 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 2490020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880024).

2490020 is an abundant number, since it is smaller than the sum of its proper divisors (3270028).

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

2490020 is a wasteful number, since it uses less digits than its factorization.

2490020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2490020 is about 1577.9797210357. The cubic root of 2490020 is about 135.5400407259.

Adding to 2490020 its reverse (200942), we get a palindrome (2690962).

The spelling of 2490020 in words is "two million, four hundred ninety thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 157 244 260 305 314 610 628 785 793 1220 1570 1586 2041 3140 3172 3965 4082 7930 8164 9577 10205 15860 19154 20410 38308 40820 47885 95770 124501 191540 249002 498004 622505 1245010 2490020