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6992712 = 23321729197
BaseRepresentation
bin11010101011001101001000
3111011021012100
4122223031020
53242231322
6405513400
7113302626
oct32531510
914137170
106992712
113a46801
122412860
1315aaacc
14d00516
15931dac
hex6ab348

6992712 has 96 divisors (see below), whose sum is σ = 20849400. Its totient is φ = 2107392.

The previous prime is 6992693. The next prime is 6992731. The reversal of 6992712 is 2172996.

It is an interprime number because it is at equal distance from previous prime (6992693) and next prime (6992731).

It can be written as a sum of positive squares in 4 ways, for example, as 6937956 + 54756 = 2634^2 + 234^2 .

It is a super-2 number, since 2×69927122 = 97796042229888, which contains 22 as substring.

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

It is a plaindrome in base 13.

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 23 ways as a sum of consecutive naturals, for example, 35398 + ... + 35594.

Almost surely, 26992712 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 6992712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10424700).

6992712 is an abundant number, since it is smaller than the sum of its proper divisors (13856688).

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

6992712 is a wasteful number, since it uses less digits than its factorization.

6992712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 248 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 6992712 is about 2644.3736498460. The cubic root of 6992712 is about 191.2267074029.

The spelling of 6992712 in words is "six million, nine hundred ninety-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 29 34 36 51 58 68 72 87 102 116 136 153 174 197 204 232 261 306 348 394 408 493 522 591 612 696 788 986 1044 1182 1224 1479 1576 1773 1972 2088 2364 2958 3349 3546 3944 4437 4728 5713 5916 6698 7092 8874 10047 11426 11832 13396 14184 17139 17748 20094 22852 26792 30141 34278 35496 40188 45704 51417 60282 68556 80376 97121 102834 120564 137112 194242 205668 241128 291363 388484 411336 582726 776968 874089 1165452 1748178 2330904 3496356 6992712