Search a number
-
+
206675712 = 28349967
BaseRepresentation
bin11000101000110…
…01111100000000
3112101220012210000
430110121330000
5410402110322
632301440000
75056500045
oct1424317400
9471805700
10206675712
11a6732581
1259270000
1333a83a29
141d63d1cc
15132273ac
hexc519f00

206675712 has 90 divisors (see below), whose sum is σ = 616331408. Its totient is φ = 68884992.

The previous prime is 206675701. The next prime is 206675713. The reversal of 206675712 is 217576602.

206675712 is a `hidden beast` number, since 20 + 6 + 67 + 571 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (206675713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15753 + ... + 25719.

Almost surely, 2206675712 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 206675712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308165704).

206675712 is an abundant number, since it is smaller than the sum of its proper divisors (409655696).

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

206675712 is an frugal number, since it uses more digits than its factorization.

206675712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9995 (or 9972 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 206675712 is about 14376.2203655898. The cubic root of 206675712 is about 591.2391003478.

The spelling of 206675712 in words is "two hundred six million, six hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 9967 10368 19934 20736 29901 39868 59802 79736 89703 119604 159472 179406 239208 269109 318944 358812 478416 538218 637888 717624 807327 956832 1076436 1275776 1435248 1614654 1913664 2152872 2551552 2870496 3229308 3827328 4305744 5740992 6458616 7654656 8611488 11481984 12917232 17222976 22963968 25834464 34445952 51668928 68891904 103337856 206675712