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2506420 = 225717903
BaseRepresentation
bin1001100011111010110100
311201100011101
421203322310
51120201140
6125415444
730206230
oct11437264
94640141
102506420
111462124
12a0a584
13699ab7
144935c0
1534799a
hex263eb4

2506420 has 24 divisors (see below), whose sum is σ = 6015744. Its totient is φ = 859296.

The previous prime is 2506411. The next prime is 2506421. The reversal of 2506420 is 246052.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8812 + ... + 9091.

It is an arithmetic number, because the mean of its divisors is an integer number (250656).

22506420 is an apocalyptic number.

2506420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506420 is an abundant number, since it is smaller than the sum of its proper divisors (3509324).

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

2506420 is a wasteful number, since it uses less digits than its factorization.

2506420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17919 (or 17917 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2506420 is about 1583.1677106359. The cubic root of 2506420 is about 135.8369585978.

It can be divided in two parts, 2506 and 420, that added together give a triangular number (2926 = T76).

The spelling of 2506420 in words is "two million, five hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 17903 35806 71612 89515 125321 179030 250642 358060 501284 626605 1253210 2506420