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2140320 = 25357313
BaseRepresentation
bin1000001010100010100000
311000201222010
420022202200
51021442240
6113512520
724123000
oct10124240
94021863
102140320
111232066
12872740
1359c280
143da000
152c4280
hex20a8a0

2140320 has 192 divisors, whose sum is σ = 8467200. Its totient is φ = 451584.

The previous prime is 2140309. The next prime is 2140337. The reversal of 2140320 is 230412.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2140296 and 2140305.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 182 × 70 × 168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164634 + ... + 164646.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

22140320 is an apocalyptic number.

2140320 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 2140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

2140320 is an abundant number, since it is smaller than the sum of its proper divisors (6326880).

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

2140320 is a wasteful number, since it uses less digits than its factorization.

2140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2140320 is about 1462.9832534927. The cubic root of 2140320 is about 128.8722971552.

Adding to 2140320 its reverse (230412), we get a palindrome (2370732).

The spelling of 2140320 in words is "two million, one hundred forty thousand, three hundred twenty".