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6998016 = 21131767
BaseRepresentation
bin11010101100100000000000
3111011112110210
4122230200000
53242414031
6405554120
7113324244
oct32544000
914145423
106998016
113a4a793
122415940
1315b034c
14d02424
15933746
hex6ac800

6998016 has 96 divisors (see below), whose sum is σ = 20049120. Its totient is φ = 2162688.

The previous prime is 6998009. The next prime is 6998029. The reversal of 6998016 is 6108996.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 104415 + ... + 104481.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 26998016 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 6998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024560).

6998016 is an abundant number, since it is smaller than the sum of its proper divisors (13051104).

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

6998016 is a wasteful number, since it uses less digits than its factorization.

6998016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 6998016 is about 2645.3763437364. The cubic root of 6998016 is about 191.2750439245.

It can be divided in two parts, 69980 and 16, that added together give a palindrome (69996).

The spelling of 6998016 in words is "six million, nine hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 67 68 96 102 128 134 136 192 201 204 256 268 272 384 402 408 512 536 544 768 804 816 1024 1072 1088 1139 1536 1608 1632 2048 2144 2176 2278 3072 3216 3264 3417 4288 4352 4556 6144 6432 6528 6834 8576 8704 9112 12864 13056 13668 17152 17408 18224 25728 26112 27336 34304 34816 36448 51456 52224 54672 68608 72896 102912 104448 109344 137216 145792 205824 218688 291584 411648 437376 583168 874752 1166336 1749504 2332672 3499008 6998016