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6992664 = 2337107389
BaseRepresentation
bin11010101011001100011000
3111011021010120
4122223030120
53242231124
6405513240
7113302530
oct32531430
914137116
106992664
113a46768
122412820
1315aaa93
14d004c0
15931d79
hex6ab318

6992664 has 64 divisors (see below), whose sum is σ = 20217600. Its totient is φ = 1974144.

The previous prime is 6992653. The next prime is 6992681. The reversal of 6992664 is 4662996.

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

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, 17782 + ... + 18170.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 26992664 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 6992664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10108800).

6992664 is an abundant number, since it is smaller than the sum of its proper divisors (13224936).

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

6992664 is a wasteful number, since it uses less digits than its factorization.

6992664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 6992664 is about 2644.3645739572. The cubic root of 6992664 is about 191.2262698568.

The spelling of 6992664 in words is "six million, nine hundred ninety-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 389 428 642 749 778 856 1167 1284 1498 1556 2247 2334 2568 2723 2996 3112 4494 4668 5446 5992 8169 8988 9336 10892 16338 17976 21784 32676 41623 65352 83246 124869 166492 249738 291361 332984 499476 582722 874083 998952 1165444 1748166 2330888 3496332 6992664