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253160580 = 223510693947
BaseRepresentation
bin11110001011011…
…10110010000100
3122122100220000210
433011232302010
51004302114310
641042035420
76162554331
oct1705566204
9578326023
10253160580
1111a9a2322
1270948b70
13405ab17a
142589d988
151735a820
hexf16ec84

253160580 has 48 divisors (see below), whose sum is σ = 709692480. Its totient is φ = 67429248.

The previous prime is 253160573. The next prime is 253160581. The reversal of 253160580 is 85061352.

253160580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (253160581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62167 + ... + 66113.

It is an arithmetic number, because the mean of its divisors is an integer number (14785260).

Almost surely, 2253160580 is an apocalyptic number.

253160580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253160580 is an abundant number, since it is smaller than the sum of its proper divisors (456531900).

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

253160580 is a wasteful number, since it uses less digits than its factorization.

253160580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 253160580 is about 15911.0207089300. The cubic root of 253160580 is about 632.6041364363.

The spelling of 253160580 in words is "two hundred fifty-three million, one hundred sixty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1069 2138 3207 3947 4276 5345 6414 7894 10690 11841 12828 15788 16035 19735 21380 23682 32070 39470 47364 59205 64140 78940 118410 236820 4219343 8438686 12658029 16877372 21096715 25316058 42193430 50632116 63290145 84386860 126580290 253160580