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253420112 = 24113534079
BaseRepresentation
bin11110001101011…
…10001001010000
3122122212002001002
433012232021100
51004333420422
641051401132
76165015101
oct1706561120
9578762032
10253420112
1112005a310
1270a531a8
134066c33a
142592a3a8
15173ac692
hexf1ae250

253420112 has 40 divisors (see below), whose sum is σ = 537287040. Its totient is φ = 114836480.

The previous prime is 253420109. The next prime is 253420121. The reversal of 253420112 is 211024352.

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 7 ways as a sum of consecutive naturals, for example, 60089 + ... + 64167.

It is an arithmetic number, because the mean of its divisors is an integer number (13432176).

Almost surely, 2253420112 is an apocalyptic number.

253420112 is a gapful number since it is divisible by the number (22) 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 253420112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268643520).

253420112 is an abundant number, since it is smaller than the sum of its proper divisors (283866928).

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

253420112 is a wasteful number, since it uses less digits than its factorization.

253420112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 253420112 is about 15919.1743504492. The cubic root of 253420112 is about 632.8202376744.

Adding to 253420112 its reverse (211024352), we get a palindrome (464444464).

The spelling of 253420112 in words is "two hundred fifty-three million, four hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 353 706 1412 2824 3883 4079 5648 7766 8158 15532 16316 31064 32632 44869 62128 65264 89738 179476 358952 717904 1439887 2879774 5759548 11519096 15838757 23038192 31677514 63355028 126710056 253420112