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2782420 = 225139121
BaseRepresentation
bin1010100111010011010100
312020100202121
422213103110
51203014140
6135345324
732436004
oct12472324
95210677
102782420
111630523
12b22244
13765604
14526004
1539e64a
hex2a74d4

2782420 has 12 divisors (see below), whose sum is σ = 5843124. Its totient is φ = 1112960.

The previous prime is 2782411. The next prime is 2782421. The reversal of 2782420 is 242872.

2782420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1024144 + 1758276 = 1012^2 + 1326^2 .

It is a super-2 number, since 2×27824202 = 15483722112800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69541 + ... + 69580.

It is an arithmetic number, because the mean of its divisors is an integer number (486927).

22782420 is an apocalyptic number.

2782420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2782420 is an abundant number, since it is smaller than the sum of its proper divisors (3060704).

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

2782420 is a wasteful number, since it uses less digits than its factorization.

2782420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139130 (or 139128 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 2782420 is about 1668.0587519629. The cubic root of 2782420 is about 140.6503753385.

The spelling of 2782420 in words is "two million, seven hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 139121 278242 556484 695605 1391210 2782420