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253544130 = 23257257493
BaseRepresentation
bin11110001110011…
…00011011000010
3122200002101011100
433013030123002
51004401403010
641054155230
76166042500
oct1707143302
9580071140
10253544130
11120134504
1270ab2b16
13406b3918
142595d670
15173d42c0
hexf1cc6c2

253544130 has 72 divisors (see below), whose sum is σ = 766854972. Its totient is φ = 57951936.

The previous prime is 253544099. The next prime is 253544131. The reversal of 253544130 is 31445352.

253544130 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 250050969 + 3493161 = 15813^2 + 1869^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253544094 and 253544103.

It is not an unprimeable number, because it can be changed into a prime (253544131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24337 + ... + 33156.

Almost surely, 2253544130 is an apocalyptic number.

253544130 is an abundant number, since it is smaller than the sum of its proper divisors (513310842).

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

253544130 is a wasteful number, since it uses less digits than its factorization.

253544130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57520 (or 57510 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 253544130 is about 15923.0691137105. The cubic root of 253544130 is about 632.9234500843.

Adding to 253544130 its reverse (31445352), we get a palindrome (284989482).

It can be divided in two parts, 2535 and 44130, that added together give a triangular number (46665 = T305).

The spelling of 253544130 in words is "two hundred fifty-three million, five hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 57493 114986 172479 287465 344958 402451 517437 574930 804902 862395 1034874 1207353 1724790 2012255 2414706 2587185 2817157 3622059 4024510 5174370 5634314 6036765 7244118 8451471 12073530 14085785 16902942 18110295 25354413 28171570 36220590 42257355 50708826 84514710 126772065 253544130