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2493640 = 235312011
BaseRepresentation
bin1001100000110011001000
311200200122001
421200303020
51114244030
6125240344
730124042
oct11406310
94620561
102493640
111453566
12a030b4
13694036
1448ca92
15343cca
hex260cc8

2493640 has 32 divisors (see below), whose sum is σ = 5794560. Its totient is φ = 964800.

The previous prime is 2493629. The next prime is 2493643. The reversal of 2493640 is 463942.

It is a junction number, because it is equal to n+sod(n) for n = 2493599 and 2493608.

It is not an unprimeable number, because it can be changed into a prime (2493643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235 + ... + 2245.

It is an arithmetic number, because the mean of its divisors is an integer number (181080).

22493640 is an apocalyptic number.

2493640 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 2493640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897280).

2493640 is an abundant number, since it is smaller than the sum of its proper divisors (3300920).

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

2493640 is a wasteful number, since it uses less digits than its factorization.

2493640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2493640 is about 1579.1263407340. The cubic root of 2493640 is about 135.6056917872.

It can be divided in two parts, 24936 and 40, that added together give a triangular number (24976 = T223).

The spelling of 2493640 in words is "two million, four hundred ninety-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 2011 4022 8044 10055 16088 20110 40220 62341 80440 124682 249364 311705 498728 623410 1246820 2493640