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6680232 = 233413261
BaseRepresentation
bin11001011110111010101000
3110120101120000
4121132322220
53202231412
6355103000
7110531616
oct31367250
913511500
106680232
113852a59
1222a1a60
1314cb800
14c5c6b6
158be4dc
hex65eea8

6680232 has 120 divisors (see below), whose sum is σ = 20592990. Its totient is φ = 2021760.

The previous prime is 6680227. The next prime is 6680249. The reversal of 6680232 is 2320866.

It can be written as a sum of positive squares in 3 ways, for example, as 1454436 + 5225796 = 1206^2 + 2286^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6680196 and 6680205.

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 29 ways as a sum of consecutive naturals, for example, 109482 + ... + 109542.

Almost surely, 26680232 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 6680232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10296495).

6680232 is an abundant number, since it is smaller than the sum of its proper divisors (13912758).

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

6680232 is a wasteful number, since it uses less digits than its factorization.

6680232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6680232 is about 2584.6144780218. The cubic root of 6680232 is about 188.3347739641.

The spelling of 6680232 in words is "six million, six hundred eighty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 61 72 78 81 104 108 117 122 156 162 169 183 216 234 244 312 324 338 351 366 468 488 507 549 648 676 702 732 793 936 1014 1053 1098 1352 1404 1464 1521 1586 1647 2028 2106 2196 2379 2808 3042 3172 3294 4056 4212 4392 4563 4758 4941 6084 6344 6588 7137 8424 9126 9516 9882 10309 12168 13176 13689 14274 18252 19032 19764 20618 21411 27378 28548 30927 36504 39528 41236 42822 54756 57096 61854 64233 82472 85644 92781 109512 123708 128466 171288 185562 247416 256932 278343 371124 513864 556686 742248 835029 1113372 1670058 2226744 3340116 6680232