Search a number
-
+
6681696 = 253761163
BaseRepresentation
bin11001011111010001100000
3110120110120020
4121133101200
53202303241
6355113440
7110536110
oct31372140
913513506
106681696
11385406a
1222a2880
1314cc388
14c5d040
158beb66
hex65f460

6681696 has 96 divisors (see below), whose sum is σ = 20498688. Its totient is φ = 1866240.

The previous prime is 6681683. The next prime is 6681721. The reversal of 6681696 is 6961866.

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

It is a super-2 number, since 2×66816962 = 89290122872832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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, 40911 + ... + 41073.

It is an arithmetic number, because the mean of its divisors is an integer number (213528).

Almost surely, 26681696 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 6681696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10249344).

6681696 is an abundant number, since it is smaller than the sum of its proper divisors (13816992).

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

6681696 is a wasteful number, since it uses less digits than its factorization.

6681696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 6681696 is about 2584.8976768917. The cubic root of 6681696 is about 188.3485310697.

The spelling of 6681696 in words is "six million, six hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 163 168 183 224 244 326 336 366 427 488 489 652 672 732 854 976 978 1141 1281 1304 1464 1708 1952 1956 2282 2562 2608 2928 3416 3423 3912 4564 5124 5216 5856 6832 6846 7824 9128 9943 10248 13664 13692 15648 18256 19886 20496 27384 29829 36512 39772 40992 54768 59658 69601 79544 109536 119316 139202 159088 208803 238632 278404 318176 417606 477264 556808 835212 954528 1113616 1670424 2227232 3340848 6681696