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6966036 = 22327211359
BaseRepresentation
bin11010100100101100010100
3111002220121100
4122210230110
53240403121
6405150100
7113132100
oct32445424
914086540
106966036
113a28760
1223bb330
13159b91c
14cd4900
15929026
hex6a4b14

6966036 has 108 divisors (see below), whose sum is σ = 22407840. Its totient is φ = 1804320.

The previous prime is 6966031. The next prime is 6966049. The reversal of 6966036 is 6306696.

6966036 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6966031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19225 + ... + 19583.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

Almost surely, 26966036 is an apocalyptic number.

6966036 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6966036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203920).

6966036 is an abundant number, since it is smaller than the sum of its proper divisors (15441804).

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

6966036 is a wasteful number, since it uses less digits than its factorization.

6966036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 6966036 is about 2639.3249136853. The cubic root of 6966036 is about 190.9832318092.

It can be divided in two parts, 69660 and 36, that added together give a palindrome (69696).

The spelling of 6966036 in words is "six million, nine hundred sixty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 359 396 441 462 539 588 693 718 882 924 1077 1078 1386 1436 1617 1764 2154 2156 2513 2772 3231 3234 3949 4308 4851 5026 6462 6468 7539 7898 9702 10052 11847 12924 15078 15796 17591 19404 22617 23694 27643 30156 35182 35541 45234 47388 52773 55286 70364 71082 82929 90468 105546 110572 142164 158319 165858 193501 211092 248787 316638 331716 387002 497574 580503 633276 774004 995148 1161006 1741509 2322012 3483018 6966036