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253512120 = 23352112601
BaseRepresentation
bin11110001110001…
…00100110111000
3122200000202020210
433013010212320
51004344341440
641053351120
76165550251
oct1707044670
9580022223
10253512120
11120112454
1270a984a0
13406a2194
1425951b28
15173c9a80
hexf1c49b8

253512120 has 32 divisors (see below), whose sum is σ = 760536720. Its totient is φ = 67603200.

The previous prime is 253512089. The next prime is 253512131. The reversal of 253512120 is 21215352.

253512120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1056181 + ... + 1056420.

Almost surely, 2253512120 is an apocalyptic number.

253512120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253512120 is an abundant number, since it is smaller than the sum of its proper divisors (507024600).

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

253512120 is a wasteful number, since it uses less digits than its factorization.

253512120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112615 (or 2112611 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 253512120 is about 15922.0639365630. The cubic root of 253512120 is about 632.8968133902.

Adding to 253512120 its reverse (21215352), we get a palindrome (274727472).

The spelling of 253512120 in words is "two hundred fifty-three million, five hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2112601 4225202 6337803 8450404 10563005 12675606 16900808 21126010 25351212 31689015 42252020 50702424 63378030 84504040 126756060 253512120