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6240420 = 2232537937
BaseRepresentation
bin10111110011100010100100
3102202001020200
4113303202210
53044143140
6341430500
7104020434
oct27634244
912661220
106240420
11358257a
12210b430
1313a6574
14b862c4
15834030
hex5f38a4

6240420 has 72 divisors (see below), whose sum is σ = 19461624. Its totient is φ = 1617408.

The previous prime is 6240419. The next prime is 6240431. The reversal of 6240420 is 240426.

6240420 is a `hidden beast` number, since 6 + 240 + 420 = 666.

6240420 is digitally balanced in base 4, 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 4 ways, for example, as 451584 + 5788836 = 672^2 + 2406^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6240393 and 6240402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6192 + ... + 7128.

Almost surely, 26240420 is an apocalyptic number.

6240420 is a gapful number since it is divisible by the number (60) 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 6240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9730812).

6240420 is an abundant number, since it is smaller than the sum of its proper divisors (13221204).

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

6240420 is a wasteful number, since it uses less digits than its factorization.

6240420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 6240420 is about 2498.0832652256. The cubic root of 6240420 is about 184.1074120800.

Adding to 6240420 its reverse (240426), we get a palindrome (6480846).

The spelling of 6240420 in words is "six million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 937 1110 1332 1665 1874 2220 2811 3330 3748 4685 5622 6660 8433 9370 11244 14055 16866 18740 28110 33732 34669 42165 56220 69338 84330 104007 138676 168660 173345 208014 312021 346690 416028 520035 624042 693380 1040070 1248084 1560105 2080140 3120210 6240420