Search a number
-
+
253360206 = 232112611907
BaseRepresentation
bin11110001100111…
…11100001001110
3122122202000212100
433012133201032
51004330011311
641050215530
76164345331
oct1706374116
9578660770
10253360206
11120019300
1270a245a6
134064aca8
1425912618
1517399a56
hexf19f84e

253360206 has 72 divisors (see below), whose sum is σ = 613601352. Its totient is φ = 75477600.

The previous prime is 253360199. The next prime is 253360207. The reversal of 253360206 is 602063352.

253360206 is a `hidden beast` number, since 2 + 53 + 3 + 602 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 253360206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253360207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131905 + ... + 133811.

It is an arithmetic number, because the mean of its divisors is an integer number (8522241).

Almost surely, 2253360206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253360206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306800676).

253360206 is an abundant number, since it is smaller than the sum of its proper divisors (360241146).

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

253360206 is a wasteful number, since it uses less digits than its factorization.

253360206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 253360206 is about 15917.2926718082. The cubic root of 253360206 is about 632.7703696030.

The spelling of 253360206 in words is "two hundred fifty-three million, three hundred sixty thousand, two hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 121 122 183 198 242 363 366 549 671 726 1089 1098 1342 1907 2013 2178 3814 4026 5721 6039 7381 11442 12078 14762 17163 20977 22143 34326 41954 44286 62931 66429 116327 125862 132858 188793 230747 232654 348981 377586 461494 692241 697962 1046943 1279597 1384482 2076723 2093886 2559194 3838791 4153446 7677582 11516373 14075567 23032746 28151134 42226701 84453402 126680103 253360206