Search a number
-
+
253676320 = 2551585477
BaseRepresentation
bin11110001111011…
…00101100100000
3122200100002111021
433013230230200
51004420120240
641101055224
76200133052
oct1707545440
9580302437
10253676320
11120214857
1270b57514
134072bb41
14259958d2
151740d54a
hexf1ecb20

253676320 has 24 divisors (see below), whose sum is σ = 599310684. Its totient is φ = 101470464.

The previous prime is 253676281. The next prime is 253676321. The reversal of 253676320 is 23676352.

253676320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 215384976 + 38291344 = 14676^2 + 6188^2 .

It is not an unprimeable number, because it can be changed into a prime (253676321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 792579 + ... + 792898.

Almost surely, 2253676320 is an apocalyptic number.

253676320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253676320 is an abundant number, since it is smaller than the sum of its proper divisors (345634364).

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

253676320 is a wasteful number, since it uses less digits than its factorization.

253676320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585492 (or 1585484 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The square root of 253676320 is about 15927.2194685701. The cubic root of 253676320 is about 633.0334264880.

The spelling of 253676320 in words is "two hundred fifty-three million, six hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1585477 3170954 6341908 7927385 12683816 15854770 25367632 31709540 50735264 63419080 126838160 253676320