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2556420 = 2235137311
BaseRepresentation
bin1001110000001000000100
311210212202020
421300020010
51123301140
6130443140
730505056
oct11601004
94725666
102556420
111496749
12a334b0
136b6799
144a78d6
153576d0
hex270204

2556420 has 48 divisors (see below), whose sum is σ = 7233408. Its totient is φ = 674560.

The previous prime is 2556419. The next prime is 2556451. The reversal of 2556420 is 246552.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8065 + ... + 8375.

It is an arithmetic number, because the mean of its divisors is an integer number (150696).

22556420 is an apocalyptic number.

2556420 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 2556420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616704).

2556420 is an abundant number, since it is smaller than the sum of its proper divisors (4676988).

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

2556420 is a wasteful number, since it uses less digits than its factorization.

2556420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2556420 is about 1598.8808586008. The cubic root of 2556420 is about 136.7342781329.

The spelling of 2556420 in words is "two million, five hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 311 411 548 622 685 822 933 1244 1370 1555 1644 1866 2055 2740 3110 3732 4110 4665 6220 8220 9330 18660 42607 85214 127821 170428 213035 255642 426070 511284 639105 852140 1278210 2556420