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2653420 = 2257111723
BaseRepresentation
bin1010000111110011101100
311222210210211
422013303230
51134402140
6132512204
731360630
oct12076354
94883724
102653420
111552610
12a7b664
1371b993
144d0dc0
153762ea
hex287cec

2653420 has 48 divisors (see below), whose sum is σ = 6951168. Its totient is φ = 826560.

The previous prime is 2653363. The next prime is 2653421. The reversal of 2653420 is 243562.

It is a happy number.

2653420 is digitally balanced in base 8, 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 (22).

2653420 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2653391 and 2653400.

It is not an unprimeable number, because it can be changed into a prime (2653421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679 + ... + 2401.

It is an arithmetic number, because the mean of its divisors is an integer number (144816).

22653420 is an apocalyptic number.

2653420 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 2653420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475584).

2653420 is an abundant number, since it is smaller than the sum of its proper divisors (4297748).

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

2653420 is a wasteful number, since it uses less digits than its factorization.

2653420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2653420 is about 1628.9321655612. The cubic root of 2653420 is about 138.4422554660.

Adding to 2653420 its reverse (243562), we get a palindrome (2896982).

The spelling of 2653420 in words is "two million, six hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1723 3446 6892 8615 12061 17230 18953 24122 34460 37906 48244 60305 75812 94765 120610 132671 189530 241220 265342 379060 530684 663355 1326710 2653420