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253041138 = 23374714243
BaseRepresentation
bin11110001010100…
…01100111110010
3122122010211012000
433011101213302
51004234304023
641035314430
76161546160
oct1705214762
9578124160
10253041138
1111a920609
12708aba16
13405689ac
142586c230
1517335243
hexf1519f2

253041138 has 64 divisors (see below), whose sum is σ = 656363520. Its totient is φ = 70754256.

The previous prime is 253041079. The next prime is 253041163. The reversal of 253041138 is 831140352.

It is a happy number.

253041138 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10645 + ... + 24887.

It is an arithmetic number, because the mean of its divisors is an integer number (10255680).

Almost surely, 2253041138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253041138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328181760).

253041138 is an abundant number, since it is smaller than the sum of its proper divisors (403322382).

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

253041138 is a wasteful number, since it uses less digits than its factorization.

253041138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14308 (or 14302 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 253041138 is about 15907.2668299743. The cubic root of 253041138 is about 632.5046325438.

The spelling of 253041138 in words is "two hundred fifty-three million, forty-one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 141 189 282 329 378 423 658 846 987 1269 1974 2538 2961 5922 8883 14243 17766 28486 42729 85458 99701 128187 199402 256374 299103 384561 598206 669421 769122 897309 1338842 1794618 2008263 2691927 4016526 4685947 5383854 6024789 9371894 12049578 14057841 18074367 28115682 36148734 42173523 84347046 126520569 253041138