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6489040 = 245292797
BaseRepresentation
bin11000110000001111010000
3110012200021211
4120300033100
53130122130
6351025504
7106104325
oct30601720
913180254
106489040
113732348
12220b294
13146278c
14c0cb4c
15882a2a
hex6303d0

6489040 has 40 divisors (see below), whose sum is σ = 15612840. Its totient is φ = 2505216.

The previous prime is 6488987. The next prime is 6489083. The reversal of 6489040 is 409846.

It can be written as a sum of positive squares in 4 ways, for example, as 1272384 + 5216656 = 1128^2 + 2284^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 6488993 and 6489011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 922 + ... + 3718.

It is an arithmetic number, because the mean of its divisors is an integer number (390321).

Almost surely, 26489040 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 6489040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806420).

6489040 is an abundant number, since it is smaller than the sum of its proper divisors (9123800).

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

6489040 is a wasteful number, since it uses less digits than its factorization.

6489040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 6489040 is about 2547.3594171220. The cubic root of 6489040 is about 186.5206056962.

The spelling of 6489040 in words is "six million, four hundred eighty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 2797 5594 11188 13985 22376 27970 44752 55940 81113 111880 162226 223760 324452 405565 648904 811130 1297808 1622260 3244520 6489040