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6993414 = 2323183151
BaseRepresentation
bin11010101011011000000110
3111011022011100
4122223120012
53242242124
6405520530
7113304651
oct32533006
914138140
106993414
113a4728a
122413146
1315ab21c
14d00898
159321c9
hex6ab606

6993414 has 48 divisors (see below), whose sum is σ = 15934464. Its totient is φ = 2214000.

The previous prime is 6993401. The next prime is 6993421. The reversal of 6993414 is 4143996.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46239 + ... + 46389.

It is an arithmetic number, because the mean of its divisors is an integer number (331968).

Almost surely, 26993414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6993414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7967232).

6993414 is an abundant number, since it is smaller than the sum of its proper divisors (8941050).

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

6993414 is a wasteful number, since it uses less digits than its factorization.

6993414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 270 counting only the distinct ones).

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

The square root of 6993414 is about 2644.5063811608. The cubic root of 6993414 is about 191.2331062868.

The spelling of 6993414 in words is "six million, nine hundred ninety-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 83 93 151 166 186 249 279 302 453 498 558 747 906 1359 1494 2573 2718 4681 5146 7719 9362 12533 14043 15438 23157 25066 28086 37599 42129 46314 75198 84258 112797 225594 388523 777046 1165569 2331138 3496707 6993414