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6871040 = 21151161
BaseRepresentation
bin11010001101100000000000
3110221002021222
4122031200000
53224333130
6403134212
7112255121
oct32154000
913832258
106871040
113973350
122374368
131567607
14cac048
1590ace5
hex68d800

6871040 has 96 divisors (see below), whose sum is σ = 18280080. Its totient is φ = 2457600.

The previous prime is 6871037. The next prime is 6871049. The reversal of 6871040 is 401786.

It is a super-2 number, since 2×68710402 = 94422381363200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6871049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112610 + ... + 112670.

Almost surely, 26871040 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 6871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040).

6871040 is an abundant number, since it is smaller than the sum of its proper divisors (11409040).

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

6871040 is a wasteful number, since it uses less digits than its factorization.

6871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 6871040 is about 2621.2668692829. The cubic root of 6871040 is about 190.1111076826. Note that the first 4 decimals are identical.

The spelling of 6871040 in words is "six million, eight hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 61 64 80 88 110 122 128 160 176 220 244 256 305 320 352 440 488 512 610 640 671 704 880 976 1024 1220 1280 1342 1408 1760 1952 2048 2440 2560 2684 2816 3355 3520 3904 4880 5120 5368 5632 6710 7040 7808 9760 10240 10736 11264 13420 14080 15616 19520 21472 22528 26840 28160 31232 39040 42944 53680 56320 62464 78080 85888 107360 112640 124928 156160 171776 214720 312320 343552 429440 624640 687104 858880 1374208 1717760 3435520 6871040