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6968928 = 253229317
BaseRepresentation
bin11010100101011001100000
3111010001120110
4122211121200
53241001203
6405211320
7113143401
oct32453140
914101513
106968928
113a2a94a
122400b40
1315a0035
14cd59a8
15929d03
hex6a5660

6968928 has 48 divisors (see below), whose sum is σ = 18431280. Its totient is φ = 2305536.

The previous prime is 6968921. The next prime is 6968933. The reversal of 6968928 is 8298696.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6968921) 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, 21826 + ... + 22142.

It is an arithmetic number, because the mean of its divisors is an integer number (383985).

Almost surely, 26968928 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 6968928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9215640).

6968928 is an abundant number, since it is smaller than the sum of its proper divisors (11462352).

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

6968928 is a wasteful number, since it uses less digits than its factorization.

With its successor (6968929) it forms an eRAP, since the sums of their prime factors are consecutive (559 and 560).

6968928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 6968928 is about 2639.8727242047. The cubic root of 6968928 is about 191.0096575072.

The spelling of 6968928 in words is "six million, nine hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 317 458 634 687 916 951 1268 1374 1832 1902 2536 2748 3664 3804 5072 5496 7328 7608 10144 10992 15216 21984 30432 72593 145186 217779 290372 435558 580744 871116 1161488 1742232 2322976 3484464 6968928