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6966128 = 2413107313
BaseRepresentation
bin11010100100101101110000
3111002220201202
4122210231300
53240404003
6405150332
7113132261
oct32445560
914086652
106966128
113a28834
1223bb3a8
13159b990
14cd4968
15929088
hex6a4b70

6966128 has 40 divisors (see below), whose sum is σ = 14717808. Its totient is φ = 3174912.

The previous prime is 6966109. The next prime is 6966149. The reversal of 6966128 is 8216696.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6966091 and 6966100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22100 + ... + 22412.

Almost surely, 26966128 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 6966128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358904).

6966128 is an abundant number, since it is smaller than the sum of its proper divisors (7751680).

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

6966128 is a wasteful number, since it uses less digits than its factorization.

6966128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 6966128 is about 2639.3423423270. The cubic root of 6966128 is about 190.9840725733.

The spelling of 6966128 in words is "six million, nine hundred sixty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 107 208 214 313 428 626 856 1252 1391 1712 2504 2782 4069 5008 5564 8138 11128 16276 22256 32552 33491 65104 66982 133964 267928 435383 535856 870766 1741532 3483064 6966128