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6996024 = 233372661
BaseRepresentation
bin11010101100000000111000
3111011102202000
4122230000320
53242333044
6405541000
7113315400
oct32540070
914142660
106996024
113a49242
122414760
1315ac479
14d01800
15932d69
hex6ac038

6996024 has 96 divisors (see below), whose sum is σ = 22640400. Its totient is φ = 1995840.

The previous prime is 6996019. The next prime is 6996037. The reversal of 6996024 is 4206996.

It is a Cunningham number, because it is equal to 26452-1.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6996024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10254 + ... + 10914.

Almost surely, 26996024 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 6996024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11320200).

6996024 is an abundant number, since it is smaller than the sum of its proper divisors (15644376).

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

6996024 is a wasteful number, since it uses less digits than its factorization.

6996024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6996024 is about 2644.9998109641. Note that the first 3 decimals coincide. The cubic root of 6996024 is about 191.2568932540.

The spelling of 6996024 in words is "six million, nine hundred ninety-six thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 661 756 882 1176 1322 1323 1512 1764 1983 2644 2646 3528 3966 4627 5288 5292 5949 7932 9254 10584 11898 13881 15864 17847 18508 23796 27762 32389 35694 37016 41643 47592 55524 64778 71388 83286 97167 111048 124929 129556 142776 166572 194334 249858 259112 291501 333144 388668 499716 583002 777336 874503 999432 1166004 1749006 2332008 3498012 6996024