Search a number
-
+
206868510 = 232517912841
BaseRepresentation
bin11000101010010…
…01000000011110
3112102021000020200
430111021000132
5410424243020
632305524330
75061232122
oct1425110036
9472230220
10206868510
11a6854412
12593436a6
1333b20704
141d68d582
1513264590
hexc54901e

206868510 has 48 divisors (see below), whose sum is σ = 540905040. Its totient is φ = 54852480.

The previous prime is 206868469. The next prime is 206868533. The reversal of 206868510 is 15868602.

It is a happy number.

206868510 is a `hidden beast` number, since 20 + 68 + 68 + 510 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9690 + ... + 22530.

It is an arithmetic number, because the mean of its divisors is an integer number (11268855).

Almost surely, 2206868510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206868510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270452520).

206868510 is an abundant number, since it is smaller than the sum of its proper divisors (334036530).

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

206868510 is a wasteful number, since it uses less digits than its factorization.

206868510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13033 (or 13030 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 206868510 is about 14382.9242506522. The cubic root of 206868510 is about 591.4228895444.

The spelling of 206868510 in words is "two hundred six million, eight hundred sixty-eight thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 358 537 895 1074 1611 1790 2685 3222 5370 8055 12841 16110 25682 38523 64205 77046 115569 128410 192615 231138 385230 577845 1155690 2298539 4597078 6895617 11492695 13791234 20686851 22985390 34478085 41373702 68956170 103434255 206868510