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6700896 = 253253439
BaseRepresentation
bin11001100011111101100000
3110121102220100
4121203331200
53203412041
6355342400
7110646066
oct31437540
913542810
106700896
113867534
1222b1a00
131508037
14c66036
158c56b6
hex663f60

6700896 has 72 divisors (see below), whose sum is σ = 19459440. Its totient is φ = 2186496.

The previous prime is 6700891. The next prime is 6700919. The reversal of 6700896 is 6980076.

6700896 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6700896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6700891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15045 + ... + 15483.

It is an arithmetic number, because the mean of its divisors is an integer number (270270).

Almost surely, 26700896 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 6700896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729720).

6700896 is an abundant number, since it is smaller than the sum of its proper divisors (12758544).

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

6700896 is a wasteful number, since it uses less digits than its factorization.

6700896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6700896 is about 2588.6088928226. The cubic root of 6700896 is about 188.5287664213.

The spelling of 6700896 in words is "six million, seven hundred thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 439 477 636 848 878 954 1272 1317 1696 1756 1908 2544 2634 3512 3816 3951 5088 5268 7024 7632 7902 10536 14048 15264 15804 21072 23267 31608 42144 46534 63216 69801 93068 126432 139602 186136 209403 279204 372272 418806 558408 744544 837612 1116816 1675224 2233632 3350448 6700896