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253242126 = 23413111933
BaseRepresentation
bin11110001100000…
…10101100001110
3122122112000220000
433012002230032
51004312222001
641043505130
76163344144
oct1706025416
9578460800
10253242126
1111aa48615
12709881a6
1340609317
14258c1594
1517374a86
hexf182b0e

253242126 has 40 divisors (see below), whose sum is σ = 571829544. Its totient is φ = 83762640.

The previous prime is 253242061. The next prime is 253242133. The reversal of 253242126 is 621242352.

It is a happy number.

253242126 is a `hidden beast` number, since 2 + 532 + 4 + 2 + 126 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 253242126.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 15256 + ... + 27188.

Almost surely, 2253242126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253242126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285914772).

253242126 is an abundant number, since it is smaller than the sum of its proper divisors (318587418).

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

253242126 is a wasteful number, since it uses less digits than its factorization.

253242126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12078 (or 12069 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 253242126 is about 15913.5830660477. The cubic root of 253242126 is about 632.6720522220.

Adding to 253242126 its reverse (621242352), we get a palindrome (874484478).

The spelling of 253242126 in words is "two hundred fifty-three million, two hundred forty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 262 393 786 1179 2358 3537 7074 10611 11933 21222 23866 35799 71598 107397 214794 322191 644382 966573 1563223 1933146 3126446 4689669 9379338 14069007 28138014 42207021 84414042 126621063 253242126