Search a number
-
+
6896016 = 243417313
BaseRepresentation
bin11010010011100110010000
3110222100120000
4122103212100
53231133031
6403450000
7112421001
oct32234620
913870500
106896016
113990096
122386900
131575aaa
14cb71a8
159133e6
hex693990

6896016 has 100 divisors (see below), whose sum is σ = 21200652. Its totient is φ = 2156544.

The previous prime is 6896011. The next prime is 6896053. The reversal of 6896016 is 6106986.

It can be written as a sum of positive squares in 2 ways, for example, as 2073600 + 4822416 = 1440^2 + 2196^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6896011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21876 + ... + 22188.

Almost surely, 26896016 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 6896016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10600326).

6896016 is an abundant number, since it is smaller than the sum of its proper divisors (14304636).

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

6896016 is a wasteful number, since it uses less digits than its factorization.

6896016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6896016 is about 2626.0266563765. The cubic root of 6896016 is about 190.3411783082.

The spelling of 6896016 in words is "six million, eight hundred ninety-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 313 324 408 432 459 612 626 648 816 918 939 1224 1252 1296 1377 1836 1878 2448 2504 2754 2817 3672 3756 5008 5321 5508 5634 7344 7512 8451 10642 11016 11268 15024 15963 16902 21284 22032 22536 25353 31926 33804 42568 45072 47889 50706 63852 67608 85136 95778 101412 127704 135216 143667 191556 202824 255408 287334 383112 405648 431001 574668 766224 862002 1149336 1724004 2298672 3448008 6896016