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6996700 = 2252313761
BaseRepresentation
bin11010101100001011011100
3111011110200001
4122230023130
53242343300
6405544044
7113320354
oct32541334
914143601
106996700
113a497a7
122415024
1315ac879
14d01b64
1593316a
hex6ac2dc

6996700 has 72 divisors (see below), whose sum is σ = 16360064. Its totient is φ = 2592000.

The previous prime is 6996679. The next prime is 6996701. The reversal of 6996700 is 76996.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 6996700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6996701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114670 + ... + 114730.

Almost surely, 26996700 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 6996700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8180032).

6996700 is an abundant number, since it is smaller than the sum of its proper divisors (9363364).

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

6996700 is a wasteful number, since it uses less digits than its factorization.

6996700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 6996700 is about 2645.1275961662. The cubic root of 6996700 is about 191.2630532051.

It can be divided in two parts, 69 and 96700, that added together give a palindrome (96769).

The spelling of 6996700 in words is "six million, nine hundred ninety-six thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 31 37 50 61 62 74 100 122 124 148 155 185 244 305 310 370 610 620 740 775 925 1147 1220 1525 1550 1850 1891 2257 2294 3050 3100 3700 3782 4514 4588 5735 6100 7564 9028 9455 11285 11470 18910 22570 22940 28675 37820 45140 47275 56425 57350 69967 94550 112850 114700 139934 189100 225700 279868 349835 699670 1399340 1749175 3498350 6996700