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253595140 = 22529215077
BaseRepresentation
bin11110001110110…
…00111000000100
3122200011222010121
433013120320010
51004410021030
641055231324
76166344301
oct1707307004
9580158117
10253595140
11120169867
1270b18544
1340700bc6
14259740a8
15173e447a
hexf1d8e04

253595140 has 36 divisors (see below), whose sum is σ = 551583396. Its totient is φ = 97933696.

The previous prime is 253595131. The next prime is 253595183. The reversal of 253595140 is 41595352.

It can be written as a sum of positive squares in 6 ways, for example, as 30272004 + 223323136 = 5502^2 + 14944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253595096 and 253595105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9282 + ... + 24358.

It is an arithmetic number, because the mean of its divisors is an integer number (15321761).

Almost surely, 2253595140 is an apocalyptic number.

253595140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253595140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275791698).

253595140 is an abundant number, since it is smaller than the sum of its proper divisors (297988256).

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

253595140 is a wasteful number, since it uses less digits than its factorization.

253595140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15144 (or 15113 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 253595140 is about 15924.6707972253. The cubic root of 253595140 is about 632.9658927422.

The spelling of 253595140 in words is "two hundred fifty-three million, five hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 841 1682 3364 4205 8410 15077 16820 30154 60308 75385 150770 301540 437233 874466 1748932 2186165 4372330 8744660 12679757 25359514 50719028 63398785 126797570 253595140