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6968320 = 21051361
BaseRepresentation
bin11010100101010000000000
3111010000201221
4122211100000
53240441240
6405204424
7113141542
oct32452000
914100657
106968320
113a2a447
122400714
13159c988
14cd5692
15929a4a
hex6a5400

6968320 has 44 divisors (see below), whose sum is σ = 16728084. Its totient is φ = 2785280.

The previous prime is 6968303. The next prime is 6968327. The reversal of 6968320 is 238696.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 5161984 = 1344^2 + 2272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6968327) by changing a digit.

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, 4440 + ... + 5800.

Almost surely, 26968320 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 6968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8364042).

6968320 is an abundant number, since it is smaller than the sum of its proper divisors (9759764).

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

6968320 is a wasteful number, since it uses less digits than its factorization.

6968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 6968320 is about 2639.7575646260. The cubic root of 6968320 is about 191.0041025041.

The spelling of 6968320 in words is "six million, nine hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 1361 2560 2722 5120 5444 6805 10888 13610 21776 27220 43552 54440 87104 108880 174208 217760 348416 435520 696832 871040 1393664 1742080 3484160 6968320