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253021300 = 22527251637
BaseRepresentation
bin11110001010011…
…00110001110100
3122122002210222021
433011030301310
51004233140200
641035042524
76161434300
oct1705146164
9578083867
10253021300
1111a907714
12708a0444
134055c95c
1425864d00
151732e41a
hexf14cc74

253021300 has 54 divisors (see below), whose sum is σ = 638710422. Its totient is φ = 86748480.

The previous prime is 253021297. The next prime is 253021313. The reversal of 253021300 is 3120352.

253021300 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 3 ways, for example, as 6280036 + 246741264 = 2506^2 + 15708^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20919 + ... + 30718.

Almost surely, 2253021300 is an apocalyptic number.

253021300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253021300 is an abundant number, since it is smaller than the sum of its proper divisors (385689122).

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

253021300 is a wasteful number, since it uses less digits than its factorization.

253021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51665 (or 51651 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 253021300 is about 15906.6432662583. The cubic root of 253021300 is about 632.4881030117.

Adding to 253021300 its reverse (3120352), we get a palindrome (256141652).

The spelling of 253021300 in words is "two hundred fifty-three million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 51637 103274 206548 258185 361459 516370 722918 1032740 1290925 1445836 1807295 2530213 2581850 3614590 5060426 5163700 7229180 9036475 10120852 12651065 18072950 25302130 36145900 50604260 63255325 126510650 253021300