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6461780 = 2251329857
BaseRepresentation
bin11000101001100101010100
3110011021220012
4120221211110
53123234110
6350255352
7105632003
oct30514524
913137805
106461780
113713916
1221b7558
131453250
14c02c3a
15879905
hex629954

6461780 has 48 divisors (see below), whose sum is σ = 15135120. Its totient is φ = 2300928.

The previous prime is 6461779. The next prime is 6461783. The reversal of 6461780 is 871646.

It can be written as a sum of positive squares in 8 ways, for example, as 16 + 6461764 = 4^2 + 2542^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461783) 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, 7112 + ... + 7968.

It is an arithmetic number, because the mean of its divisors is an integer number (315315).

Almost surely, 26461780 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 6461780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567560).

6461780 is an abundant number, since it is smaller than the sum of its proper divisors (8673340).

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

6461780 is a wasteful number, since it uses less digits than its factorization.

6461780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 6461780 is about 2542.0031471263. The cubic root of 6461780 is about 186.2590524555.

The spelling of 6461780 in words is "six million, four hundred sixty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 857 1508 1714 1885 3428 3770 4285 7540 8570 11141 17140 22282 24853 44564 49706 55705 99412 111410 124265 222820 248530 323089 497060 646178 1292356 1615445 3230890 6461780