Search a number
-
+
6700128 = 25371983
BaseRepresentation
bin11001100011110001100000
3110121101211220
4121203301200
53203401003
6355335040
7110643621
oct31436140
913541756
106700128
1138669a6
1222b1480
131507896
14c65a48
158c5353
hex663c60

6700128 has 48 divisors (see below), whose sum is σ = 17853696. Its totient is φ = 2199680.

The previous prime is 6700093. The next prime is 6700129. The reversal of 6700128 is 8210076.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 6700098 and 6700107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6700129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6325 + ... + 7307.

It is an arithmetic number, because the mean of its divisors is an integer number (371952).

Almost surely, 26700128 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 6700128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8926848).

6700128 is an abundant number, since it is smaller than the sum of its proper divisors (11153568).

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

6700128 is a wasteful number, since it uses less digits than its factorization.

6700128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 6700128 is about 2588.4605463480. The cubic root of 6700128 is about 188.5215636221.

The spelling of 6700128 in words is "six million, seven hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 983 1136 1704 1966 2272 2949 3408 3932 5898 6816 7864 11796 15728 23592 31456 47184 69793 94368 139586 209379 279172 418758 558344 837516 1116688 1675032 2233376 3350064 6700128