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2493820 = 225747379
BaseRepresentation
bin1001100000110101111100
311200200212201
421200311330
51114300240
6125241244
730124420
oct11406574
94620781
102493820
11145370a
12a03224
13694144
1448cb80
15343d9a
hex260d7c

2493820 has 48 divisors (see below), whose sum is σ = 6128640. Its totient is φ = 834624.

The previous prime is 2493817. The next prime is 2493833. The reversal of 2493820 is 283942.

2493820 = T270 + T271 + ... + T325.

2493820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6391 + ... + 6769.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

22493820 is an apocalyptic number.

2493820 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 2493820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064320).

2493820 is an abundant number, since it is smaller than the sum of its proper divisors (3634820).

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

2493820 is a wasteful number, since it uses less digits than its factorization.

2493820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2493820 is about 1579.1833332454. The cubic root of 2493820 is about 135.6089545460.

The spelling of 2493820 in words is "two million, four hundred ninety-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 379 470 658 758 940 1316 1516 1645 1895 2653 3290 3790 5306 6580 7580 10612 13265 17813 26530 35626 53060 71252 89065 124691 178130 249382 356260 498764 623455 1246910 2493820