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253124130 = 23575772089
BaseRepresentation
bin11110001011001…
…01111000100010
3122122022001000210
433011211320202
51004244433010
641041154550
76162343140
oct1705457042
9578261023
10253124130
1111a9779a6
127092ba56
13405976bc
1425890590
151734eb20
hexf165e22

253124130 has 64 divisors (see below), whose sum is σ = 695819520. Its totient is φ = 57729024.

The previous prime is 253124129. The next prime is 253124147. The reversal of 253124130 is 31421352.

253124130 is digitally balanced in base 2, 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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 253124097 and 253124106.

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, 120126 + ... + 122214.

It is an arithmetic number, because the mean of its divisors is an integer number (10872180).

Almost surely, 2253124130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253124130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347909760).

253124130 is an abundant number, since it is smaller than the sum of its proper divisors (442695390).

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

253124130 is a wasteful number, since it uses less digits than its factorization.

253124130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 253124130 is about 15909.8752352116. The cubic root of 253124130 is about 632.5737742482.

Adding to 253124130 its reverse (31421352), we get a palindrome (284545482).

The spelling of 253124130 in words is "two hundred fifty-three million, one hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 577 1154 1731 2089 2885 3462 4039 4178 5770 6267 8078 8655 10445 12117 12534 14623 17310 20195 20890 24234 29246 31335 40390 43869 60585 62670 73115 87738 121170 146230 219345 438690 1205353 2410706 3616059 6026765 7232118 8437471 12053530 16874942 18080295 25312413 36160590 42187355 50624826 84374710 126562065 253124130