Search a number
-
+
6974064 = 2432192549
BaseRepresentation
bin11010100110101001110000
3111010022121200
4122212221300
53241132224
6405251200
7113164356
oct32465160
914108550
106974064
113a33799
122403b00
1315a2486
14cd77d6
1592b5c9
hex6a6a70

6974064 has 60 divisors (see below), whose sum is σ = 20553000. Its totient is φ = 2201472.

The previous prime is 6974057. The next prime is 6974081. The reversal of 6974064 is 4604796.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 1462 + ... + 4010.

It is an arithmetic number, because the mean of its divisors is an integer number (342550).

Almost surely, 26974064 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 6974064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10276500).

6974064 is an abundant number, since it is smaller than the sum of its proper divisors (13578936).

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

6974064 is a wasteful number, since it uses less digits than its factorization.

6974064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6974064 is about 2640.8453192113. The cubic root of 6974064 is about 191.0565697773.

It can be divided in two parts, 697 and 4064, that added together give a square (4761 = 692).

The spelling of 6974064 in words is "six million, nine hundred seventy-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2549 2736 5098 7647 10196 15294 20392 22941 30588 40784 45882 48431 61176 91764 96862 122352 145293 183528 193724 290586 367056 387448 435879 581172 774896 871758 1162344 1743516 2324688 3487032 6974064