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2490768 = 243272353
BaseRepresentation
bin1001100000000110010000
311200112200200
421200012100
51114201033
6125215200
730112500
oct11400620
94615620
102490768
111451395
12a01500
13692937
1448ba00
15343013
hex260190

2490768 has 90 divisors (see below), whose sum is σ = 8131734. Its totient is φ = 709632.

The previous prime is 2490743. The next prime is 2490769. The reversal of 2490768 is 8670942.

It can be written as a sum of positive squares in only one way, i.e., 2039184 + 451584 = 1428^2 + 672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2490769) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6880 + ... + 7232.

22490768 is an apocalyptic number.

2490768 is a gapful number since it is divisible by the number (28) 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 2490768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065867).

2490768 is an abundant number, since it is smaller than the sum of its proper divisors (5640966).

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

2490768 is a wasteful number, since it uses less digits than its factorization.

2490768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2490768 is about 1578.2167151567. The cubic root of 2490768 is about 135.5536114067.

The spelling of 2490768 in words is "two million, four hundred ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 353 392 441 504 588 706 784 882 1008 1059 1176 1412 1764 2118 2352 2471 2824 3177 3528 4236 4942 5648 6354 7056 7413 8472 9884 12708 14826 16944 17297 19768 22239 25416 29652 34594 39536 44478 50832 51891 59304 69188 88956 103782 118608 138376 155673 177912 207564 276752 311346 355824 415128 622692 830256 1245384 2490768