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6988014 = 23211291217
BaseRepresentation
bin11010101010000011101110
3111011000202100
4122222003232
53242104024
6405435530
7113253135
oct32520356
914130670
106988014
113a43220
12240bba6
1315a8927
14cdc91c
159307c9
hex6aa0ee

6988014 has 48 divisors (see below), whose sum is σ = 17100720. Its totient is φ = 2042880.

The previous prime is 6987983. The next prime is 6988039. The reversal of 6988014 is 4108896.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6988014.

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, 5134 + ... + 6350.

It is an arithmetic number, because the mean of its divisors is an integer number (356265).

Almost surely, 26988014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6988014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8550360).

6988014 is an abundant number, since it is smaller than the sum of its proper divisors (10112706).

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

6988014 is a wasteful number, since it uses less digits than its factorization.

6988014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 6988014 is about 2643.4851995046. The cubic root of 6988014 is about 191.1838730759.

The spelling of 6988014 in words is "six million, nine hundred eighty-eight thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1217 1914 2434 2871 3651 5742 7302 10953 13387 21906 26774 35293 40161 70586 80322 105879 120483 211758 240966 317637 388223 635274 776446 1164669 2329338 3494007 6988014