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6870336 = 263113253
BaseRepresentation
bin11010001101010101000000
3110221001022220
4122031111000
53224322321
6403131040
7112253064
oct32152500
913831286
106870336
113972870
122373a80
1315671b5
14cabaa4
1590a9c6
hex68d540

6870336 has 56 divisors (see below), whose sum is σ = 19836384. Its totient is φ = 2081280.

The previous prime is 6870317. The next prime is 6870377. The reversal of 6870336 is 6330786.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 6870297 and 6870306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486 + ... + 3738.

Almost surely, 26870336 is an apocalyptic number.

6870336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6870336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9918192).

6870336 is an abundant number, since it is smaller than the sum of its proper divisors (12966048).

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

6870336 is a wasteful number, since it uses less digits than its factorization.

6870336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 6870336 is about 2621.1325796304. The cubic root of 6870336 is about 190.1046145951.

The spelling of 6870336 in words is "six million, eight hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 3253 6506 9759 13012 19518 26024 35783 39036 52048 71566 78072 104096 107349 143132 156144 208192 214698 286264 312288 429396 572528 624576 858792 1145056 1717584 2290112 3435168 6870336