Search a number
-
+
253161126 = 2342953887
BaseRepresentation
bin11110001011011…
…10111010100110
3122122100220210000
433011232322212
51004302124001
641042042130
76162556041
oct1705567246
9578326700
10253161126
1111a9a2779
1270949346
13405ab4aa
142589dc58
151735aa86
hexf16eea6

253161126 has 40 divisors (see below), whose sum is σ = 586840320. Its totient is φ = 81475632.

The previous prime is 253161121. The next prime is 253161157. The reversal of 253161126 is 621161352.

253161126 is a `hidden beast` number, since 2 + 531 + 6 + 1 + 126 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 253161126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253161121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22246 + ... + 31641.

It is an arithmetic number, because the mean of its divisors is an integer number (14671008).

Almost surely, 2253161126 is an apocalyptic number.

253161126 is an abundant number, since it is smaller than the sum of its proper divisors (333679194).

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

253161126 is a wasteful number, since it uses less digits than its factorization.

253161126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53930 (or 53921 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 253161126 is about 15911.0378668395. The cubic root of 253161126 is about 632.6045912223.

The spelling of 253161126 in words is "two hundred fifty-three million, one hundred sixty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 4698 53887 107774 161661 323322 484983 969966 1454949 1562723 2909898 3125446 4364847 4688169 8729694 9376338 14064507 28129014 42193521 84387042 126580563 253161126