Search a number
-
+
6456128 = 26714411
BaseRepresentation
bin11000101000001101000000
3110011000010212
4120220031000
53123044003
6350213252
7105606350
oct30501500
913130125
106456128
11370a648
1221b4228
1314507c3
14c00b60
15877dd8
hex628340

6456128 has 28 divisors (see below), whose sum is σ = 14642592. Its totient is φ = 2766720.

The previous prime is 6456119. The next prime is 6456137. The reversal of 6456128 is 8216546.

It is an interprime number because it is at equal distance from previous prime (6456119) and next prime (6456137).

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 6456094 and 6456103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6758 + ... + 7653.

Almost surely, 26456128 is an apocalyptic number.

It is an amenable number.

6456128 is an abundant number, since it is smaller than the sum of its proper divisors (8186464).

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

6456128 is a wasteful number, since it uses less digits than its factorization.

6456128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14430 (or 14420 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 6456128 is about 2540.8911822430. The cubic root of 6456128 is about 186.2047308264.

The spelling of 6456128 in words is "six million, four hundred fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 14411 28822 57644 100877 115288 201754 230576 403508 461152 807016 922304 1614032 3228064 6456128