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6481540 = 2251397257
BaseRepresentation
bin11000101110011010000100
3110012022000001
4120232122010
53124402130
6350531044
7106043422
oct30563204
913168001
106481540
11372774a
122206a84
13145c240
14c0a112
158806ca
hex62e684

6481540 has 48 divisors (see below), whose sum is σ = 14866992. Its totient is φ = 2359296.

The previous prime is 6481499. The next prime is 6481543. The reversal of 6481540 is 451846.

6481540 is digitally balanced in base 5, 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 8 ways, for example, as 9604 + 6471936 = 98^2 + 2544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6481499 and 6481508.

It is not an unprimeable number, because it can be changed into a prime (6481543) 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, 25092 + ... + 25348.

It is an arithmetic number, because the mean of its divisors is an integer number (309729).

Almost surely, 26481540 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 6481540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7433496).

6481540 is an abundant number, since it is smaller than the sum of its proper divisors (8385452).

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

6481540 is a wasteful number, since it uses less digits than its factorization.

6481540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 6481540 is about 2545.8868788695. The cubic root of 6481540 is about 186.4487181320.

It can be divided in two parts, 6481 and 540, that added together give a triangular number (7021 = T118).

The spelling of 6481540 in words is "six million, four hundred eighty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 257 260 388 485 514 970 1028 1261 1285 1940 2522 2570 3341 5044 5140 6305 6682 12610 13364 16705 24929 25220 33410 49858 66820 99716 124645 249290 324077 498580 648154 1296308 1620385 3240770 6481540