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252114460 = 22513969671
BaseRepresentation
bin11110000011011…
…11011000011100
3122120101202000121
433001233120130
51004020130320
641003404324
76150636403
oct1701573034
9576352017
10252114460
1111a348364
12705236a4
1340302c70
14256aa63a
15172008aa
hexf06f61c

252114460 has 24 divisors (see below), whose sum is σ = 570167136. Its totient is φ = 93088320.

The previous prime is 252114451. The next prime is 252114463. The reversal of 252114460 is 64411252.

It is a happy number.

252114460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252114463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 484576 + ... + 485095.

It is an arithmetic number, because the mean of its divisors is an integer number (23756964).

Almost surely, 2252114460 is an apocalyptic number.

252114460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252114460 is an abundant number, since it is smaller than the sum of its proper divisors (318052676).

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

252114460 is a wasteful number, since it uses less digits than its factorization.

252114460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969693 (or 969691 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 252114460 is about 15878.1126082416. The cubic root of 252114460 is about 631.7315763117.

The spelling of 252114460 in words is "two hundred fifty-two million, one hundred fourteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 969671 1939342 3878684 4848355 9696710 12605723 19393420 25211446 50422892 63028615 126057230 252114460