Search a number
-
+
6996736 = 28151181
BaseRepresentation
bin11010101100001100000000
3111011110201101
4122230030000
53242343421
6405544144
7113320435
oct32541400
914143641
106996736
113a4982a
122415054
1315ac8a6
14d01b8c
15933191
hex6ac300

6996736 has 36 divisors (see below), whose sum is σ = 14136304. Its totient is φ = 3456000.

The previous prime is 6996733. The next prime is 6996739. The reversal of 6996736 is 6376996.

It is an interprime number because it is at equal distance from previous prime (6996733) and next prime (6996739).

It is not an unprimeable number, because it can be changed into a prime (6996733) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38566 + ... + 38746.

Almost surely, 26996736 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 6996736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068152).

6996736 is an abundant number, since it is smaller than the sum of its proper divisors (7139568).

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

6996736 is a wasteful number, since it uses less digits than its factorization.

6996736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 334 counting only the distinct ones).

The product of its digits is 367416, while the sum is 46.

The square root of 6996736 is about 2645.1344011222. The cubic root of 6996736 is about 191.2633812387.

The spelling of 6996736 in words is "six million, nine hundred ninety-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 151 181 256 302 362 604 724 1208 1448 2416 2896 4832 5792 9664 11584 19328 23168 27331 38656 46336 54662 109324 218648 437296 874592 1749184 3498368 6996736