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2427420 = 2235231759
BaseRepresentation
bin1001010000101000011100
311120022210110
421100220130
51110134140
6124010020
726430012
oct11205034
94508713
102427420
111408836
12990910
1366cb58
144728b2
1532e380
hex250a1c

2427420 has 48 divisors (see below), whose sum is σ = 7096320. Its totient is φ = 618816.

The previous prime is 2427407. The next prime is 2427427. The reversal of 2427420 is 247242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427427) 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, 501 + ... + 2259.

It is an arithmetic number, because the mean of its divisors is an integer number (147840).

22427420 is an apocalyptic number.

2427420 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 2427420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548160).

2427420 is an abundant number, since it is smaller than the sum of its proper divisors (4668900).

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

2427420 is a wasteful number, since it uses less digits than its factorization.

2427420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 2427420 is about 1558.0179716550. The cubic root of 2427420 is about 134.3945452009.

The spelling of 2427420 in words is "two million, four hundred twenty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1759 3518 5277 7036 8795 10554 17590 21108 26385 35180 40457 52770 80914 105540 121371 161828 202285 242742 404570 485484 606855 809140 1213710 2427420