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253413140 = 22553239069
BaseRepresentation
bin11110001101011…
…00011100010100
3122122211201110212
433012230130110
51004333210030
641051304552
76164655551
oct1706543424
9578751425
10253413140
11120055052
1270a4b158
1340669106
1425927a28
15173aa595
hexf1ac714

253413140 has 24 divisors (see below), whose sum is σ = 542210760. Its totient is φ = 99452288.

The previous prime is 253413137. The next prime is 253413151. The reversal of 253413140 is 41314352.

253413140 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 4 ways, for example, as 105596176 + 147816964 = 10276^2 + 12158^2 .

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, 118475 + ... + 120594.

It is an arithmetic number, because the mean of its divisors is an integer number (22592115).

Almost surely, 2253413140 is an apocalyptic number.

253413140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253413140 is an abundant number, since it is smaller than the sum of its proper divisors (288797620).

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

253413140 is a wasteful number, since it uses less digits than its factorization.

253413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239131 (or 239129 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 253413140 is about 15918.9553677369. The cubic root of 253413140 is about 632.8144343161.

Adding to 253413140 its reverse (41314352), we get a palindrome (294727492).

The spelling of 253413140 in words is "two hundred fifty-three million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 239069 478138 956276 1195345 2390690 4781380 12670657 25341314 50682628 63353285 126706570 253413140