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2093040 = 243451719
BaseRepresentation
bin111111110111111110000
310221100010000
413332333300
51013434130
6112510000
723535105
oct7767760
93840100
102093040
1111aa594
1284b300
135838b1
143c6aac
152b5260
hex1feff0

2093040 has 200 divisors, whose sum is σ = 8102160. Its totient is φ = 497664.

The previous prime is 2093029. The next prime is 2093041. The reversal of 2093040 is 403902.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110151 + ... + 110169.

22093040 is an apocalyptic number.

2093040 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 2093040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051080).

2093040 is an abundant number, since it is smaller than the sum of its proper divisors (6009120).

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

2093040 is a wasteful number, since it uses less digits than its factorization.

2093040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2093040 is about 1446.7342534135. The cubic root of 2093040 is about 127.9162864080.

Adding to 2093040 its reverse (403902), we get a palindrome (2496942).

It can be divided in two parts, 209 and 3040, that added together give a square (3249 = 572).

The spelling of 2093040 in words is "two million, ninety-three thousand, forty".