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2154240 = 283251117
BaseRepresentation
bin1000001101111100000000
311001110001200
420031330000
51022413430
6114101200
724211404
oct10157400
94043050
102154240
111241570
1287a800
135a56ca
14401104
152c8460
hex20df00

2154240 has 216 divisors, whose sum is σ = 8609328. Its totient is φ = 491520.

The previous prime is 2154227. The next prime is 2154241. The reversal of 2154240 is 424512.

2154240 is nontrivially palindromic in base 14.

2154240 is digitally balanced in base 5, 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126712 + ... + 126728.

It is an arithmetic number, because the mean of its divisors is an integer number (39858).

22154240 is an apocalyptic number.

2154240 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 2154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304664).

2154240 is an abundant number, since it is smaller than the sum of its proper divisors (6455088).

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

2154240 is a wasteful number, since it uses less digits than its factorization.

2154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2154240 is about 1467.7329457364. The cubic root of 2154240 is about 129.1510759307.

Adding to 2154240 its reverse (424512), we get a palindrome (2578752).

The spelling of 2154240 in words is "two million, one hundred fifty-four thousand, two hundred forty".