Search a number
-
+
68013198 = 2321119101179
BaseRepresentation
bin1000000110111…
…00110010001110
311201222102120100
410003130302032
5114402410243
610425431530
71454050131
oct403346216
9151872510
1068013198
1135434360
121a93b5a6
13111243c6
149066218
155e870d3
hex40dcc8e

68013198 has 96 divisors (see below), whose sum is σ = 171849600. Its totient is φ = 19224000.

The previous prime is 68013191. The next prime is 68013223. The reversal of 68013198 is 89131086.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (68013191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379873 + ... + 380051.

It is an arithmetic number, because the mean of its divisors is an integer number (1790100).

Almost surely, 268013198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68013198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85924800).

68013198 is an abundant number, since it is smaller than the sum of its proper divisors (103836402).

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

68013198 is a wasteful number, since it uses less digits than its factorization.

68013198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 68013198 is about 8247.0114587043. The cubic root of 68013198 is about 408.1919151914.

It can be divided in two parts, 6801 and 3198, that added together give a palindrome (9999).

The spelling of 68013198 in words is "sixty-eight million, thirteen thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 101 114 171 179 198 202 209 303 342 358 418 537 606 627 909 1074 1111 1254 1611 1818 1881 1919 1969 2222 3222 3333 3401 3762 3838 3938 5757 5907 6666 6802 9999 10203 11514 11814 17271 17721 18079 19998 20406 21109 30609 34542 35442 36158 37411 42218 54237 61218 63327 74822 108474 112233 126654 162711 189981 198869 224466 325422 336699 343501 379962 397738 596607 673398 687002 1030503 1193214 1789821 2061006 3091509 3579642 3778511 6183018 7557022 11335533 22671066 34006599 68013198