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2493840 = 243510391
BaseRepresentation
bin1001100000110110010000
311200200220110
421200312100
51114300330
6125241320
730124446
oct11406620
94620813
102493840
111453728
12a03240
1369415b
1448cb96
15343db0
hex260d90

2493840 has 40 divisors (see below), whose sum is σ = 7731648. Its totient is φ = 664960.

The previous prime is 2493833. The next prime is 2493851. The reversal of 2493840 is 483942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2493798 and 2493807.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4956 + ... + 5435.

22493840 is an apocalyptic number.

2493840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2493840 is an abundant number, since it is smaller than the sum of its proper divisors (5237808).

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

2493840 is a wasteful number, since it uses less digits than its factorization.

2493840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10407 (or 10401 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2493840 is about 1579.1896656197. The cubic root of 2493840 is about 135.6093170650.

It can be divided in two parts, 2493 and 840, that added together give a palindrome (3333).

The spelling of 2493840 in words is "two million, four hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 10391 20782 31173 41564 51955 62346 83128 103910 124692 155865 166256 207820 249384 311730 415640 498768 623460 831280 1246920 2493840