Search a number
-
+
6998994 = 2333137113
BaseRepresentation
bin11010101100101111010010
3111011120211000
4122230233102
53242431434
6410002430
7113330142
oct32545722
914146730
106998994
113a504a2
122416416
1315b0922
14d02922
15933b99
hex6acbd2

6998994 has 64 divisors (see below), whose sum is σ = 16634880. Its totient is φ = 2177280.

The previous prime is 6998989. The next prime is 6999007. The reversal of 6998994 is 4998996.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1259712) is a multiple of the sum of its prime factors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 6998994.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61882 + ... + 61994.

It is an arithmetic number, because the mean of its divisors is an integer number (259920).

Almost surely, 26998994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6998994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8317440).

6998994 is an abundant number, since it is smaller than the sum of its proper divisors (9635886).

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

6998994 is a wasteful number, since it uses less digits than its factorization.

6998994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 6998994 is about 2645.5611881036. The cubic root of 6998994 is about 191.2839539869.

The spelling of 6998994 in words is "six million, nine hundred ninety-eight thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 31 37 54 62 74 93 111 113 186 222 226 279 333 339 558 666 678 837 999 1017 1147 1674 1998 2034 2294 3051 3441 3503 4181 6102 6882 7006 8362 10323 10509 12543 20646 21018 25086 30969 31527 37629 61938 63054 75258 94581 112887 129611 189162 225774 259222 388833 777666 1166499 2332998 3499497 6998994