Search a number
-
+
6401680 = 24580021
BaseRepresentation
bin11000011010111010010000
3110001020110021
4120122322100
53114323210
6345113224
7105261535
oct30327220
913036407
106401680
11368274a
122188814
131431a9c
14bc8d8c
15866bda
hex61ae90

6401680 has 20 divisors (see below), whose sum is σ = 14884092. Its totient is φ = 2560640.

The previous prime is 6401669. The next prime is 6401687. The reversal of 6401680 is 861046.

It can be written as a sum of positive squares in 2 ways, for example, as 944784 + 5456896 = 972^2 + 2336^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (6401687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39931 + ... + 40090.

Almost surely, 26401680 is an apocalyptic number.

It is an amenable number.

6401680 is an abundant number, since it is smaller than the sum of its proper divisors (8482412).

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

6401680 is a wasteful number, since it uses less digits than its factorization.

6401680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80034 (or 80028 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 6401680 is about 2530.1541455018. The cubic root of 6401680 is about 185.6797974841.

The spelling of 6401680 in words is "six million, four hundred one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 80021 160042 320084 400105 640168 800210 1280336 1600420 3200840 6401680