Search a number
-
+
6206928 = 243731329
BaseRepresentation
bin10111101011010111010000
3102200100022020
4113223113100
53042110203
6341011440
7103521000
oct27532720
912610266
106206928
11355a3a2
1220b3b80
131394250
14b78000
15829153
hex5eb5d0

6206928 has 160 divisors (see below), whose sum is σ = 20832000. Its totient is φ = 1580544.

The previous prime is 6206923. The next prime is 6206929. The reversal of 6206928 is 8296026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6206923) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 214018 + ... + 214046.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

Almost surely, 26206928 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 6206928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416000).

6206928 is an abundant number, since it is smaller than the sum of its proper divisors (14625072).

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

6206928 is a wasteful number, since it uses less digits than its factorization.

6206928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6206928 is about 2491.3707070607. The cubic root of 6206928 is about 183.7774562147. Note that the first 3 decimals are identical.

The spelling of 6206928 in words is "six million, two hundred six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 39 42 48 49 52 56 58 78 84 87 91 98 104 112 116 147 156 168 174 182 196 203 208 232 273 294 312 336 343 348 364 377 392 406 464 546 588 609 624 637 686 696 728 754 784 812 1029 1092 1131 1176 1218 1274 1372 1392 1421 1456 1508 1624 1911 2058 2184 2262 2352 2436 2548 2639 2744 2842 3016 3248 3822 4116 4263 4368 4459 4524 4872 5096 5278 5488 5684 6032 7644 7917 8232 8526 8918 9048 9744 9947 10192 10556 11368 13377 15288 15834 16464 17052 17836 18096 18473 19894 21112 22736 26754 29841 30576 31668 34104 35672 36946 39788 42224 53508 55419 59682 63336 68208 71344 73892 79576 107016 110838 119364 126672 129311 147784 159152 214032 221676 238728 258622 295568 387933 443352 477456 517244 775866 886704 1034488 1551732 2068976 3103464 6206928