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6490120 = 2357131783
BaseRepresentation
bin11000110000100000001000
3110012201202211
4120300200020
53130140440
6351034504
7106110430
oct30604010
913181684
106490120
11373313a
12220ba34
131463110
14c0d2c0
15882eea
hex630808

6490120 has 64 divisors (see below), whose sum is σ = 17982720. Its totient is φ = 2052864.

The previous prime is 6490111. The next prime is 6490123. The reversal of 6490120 is 210946.

It is a super-2 number, since 2×64901202 = 84243315228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6490091 and 6490100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6490123) 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, 2749 + ... + 4531.

It is an arithmetic number, because the mean of its divisors is an integer number (280980).

Almost surely, 26490120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6490120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8991360).

6490120 is an abundant number, since it is smaller than the sum of its proper divisors (11492600).

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

6490120 is a wasteful number, since it uses less digits than its factorization.

6490120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 6490120 is about 2547.5713925227. The cubic root of 6490120 is about 186.5309529422.

The spelling of 6490120 in words is "six million, four hundred ninety thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1783 1820 3566 3640 7132 8915 12481 14264 17830 23179 24962 35660 46358 49924 62405 71320 92716 99848 115895 124810 162253 185432 231790 249620 324506 463580 499240 649012 811265 927160 1298024 1622530 3245060 6490120