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7013888 = 29719103
BaseRepresentation
bin11010110000011000000000
3111012100020122
4122300120000
53243421023
6410155412
7113421440
oct32603000
914170218
107013888
113a60702
122422b68
1315b763b
14d08120
159382c8
hex6b0600

7013888 has 80 divisors (see below), whose sum is σ = 17022720. Its totient is φ = 2820096.

The previous prime is 7013887. The next prime is 7013899. The reversal of 7013888 is 8883107.

It is a super-4 number, since 4×70138884 (a number of 28 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7013887) 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, 68045 + ... + 68147.

It is an arithmetic number, because the mean of its divisors is an integer number (212784).

Almost surely, 27013888 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 7013888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8511360).

7013888 is an abundant number, since it is smaller than the sum of its proper divisors (10008832).

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

7013888 is a wasteful number, since it uses less digits than its factorization.

7013888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 7013888 is about 2648.3745958606. The cubic root of 7013888 is about 191.4195432206.

The spelling of 7013888 in words is "seven million, thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 103 112 128 133 152 206 224 256 266 304 412 448 512 532 608 721 824 896 1064 1216 1442 1648 1792 1957 2128 2432 2884 3296 3584 3914 4256 4864 5768 6592 7828 8512 9728 11536 13184 13699 15656 17024 23072 26368 27398 31312 34048 46144 52736 54796 62624 68096 92288 109592 125248 184576 219184 250496 369152 438368 500992 876736 1001984 1753472 3506944 7013888