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6696864 = 253323337
BaseRepresentation
bin11001100010111110100000
3110121020101000
4121202332200
53203244424
6355312000
7110631246
oct31427640
913536330
106696864
1138644a9
1222ab600
131506255
14c64796
158c43c9
hex662fa0

6696864 has 96 divisors (see below), whose sum is σ = 20442240. Its totient is φ = 2128896.

The previous prime is 6696857. The next prime is 6696869. The reversal of 6696864 is 4686966.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6696869) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19704 + ... + 20040.

It is an arithmetic number, because the mean of its divisors is an integer number (212940).

Almost surely, 26696864 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 6696864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10221120).

6696864 is an abundant number, since it is smaller than the sum of its proper divisors (13745376).

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

6696864 is a wasteful number, since it uses less digits than its factorization.

6696864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 365 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 6696864 is about 2587.8299789592. The cubic root of 6696864 is about 188.4909455836.

The spelling of 6696864 in words is "six million, six hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 337 368 414 432 552 621 674 736 828 864 1011 1104 1242 1348 1656 2022 2208 2484 2696 3033 3312 4044 4968 5392 6066 6624 7751 8088 9099 9936 10784 12132 15502 16176 18198 19872 23253 24264 31004 32352 36396 46506 48528 62008 69759 72792 93012 97056 124016 139518 145584 186024 209277 248032 279036 291168 372048 418554 558072 744096 837108 1116144 1674216 2232288 3348432 6696864