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252140013 = 3319491501
BaseRepresentation
bin11110000011101…
…01100111101101
3122120110001002000
433001311213231
51004021440023
641004122513
76151104036
oct1701654755
9576401060
10252140013
1111a365584
1270536439
1340311798
14256b5a8d
1517208243
hexf0759ed

252140013 has 16 divisors (see below), whose sum is σ = 393201600. Its totient is φ = 159246000.

The previous prime is 252140011. The next prime is 252140033. The reversal of 252140013 is 310041252.

252140013 is a `hidden beast` number, since 252 + 1 + 400 + 13 = 666.

It is not a de Polignac number, because 252140013 - 21 = 252140011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252140011) 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 15 ways as a sum of consecutive naturals, for example, 245238 + ... + 246263.

It is an arithmetic number, because the mean of its divisors is an integer number (24575100).

Almost surely, 2252140013 is an apocalyptic number.

It is an amenable number.

252140013 is a deficient number, since it is larger than the sum of its proper divisors (141061587).

252140013 is a wasteful number, since it uses less digits than its factorization.

252140013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491529 (or 491523 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 252140013 is about 15878.9172489814. The cubic root of 252140013 is about 631.7529185909.

Adding to 252140013 its reverse (310041252), we get a palindrome (562181265).

The spelling of 252140013 in words is "two hundred fifty-two million, one hundred forty thousand, thirteen".

Divisors: 1 3 9 19 27 57 171 513 491501 1474503 4423509 9338519 13270527 28015557 84046671 252140013