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253199580 = 223529145517
BaseRepresentation
bin11110001011110…
…00010011011100
3122122102212112020
433011320103130
51004304341310
641042540140
76163106124
oct1705702334
9578385466
10253199580
1111aa19657
1270967650
13405c2b4a
14258adc84
1517367170
hexf1784dc

253199580 has 48 divisors (see below), whose sum is σ = 733410720. Its totient is φ = 65191168.

The previous prime is 253199543. The next prime is 253199587. The reversal of 253199580 is 85991352.

It is a super-2 number, since 2×2531995802 = 128220054624352800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253199587) 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, 71019 + ... + 74498.

It is an arithmetic number, because the mean of its divisors is an integer number (15279390).

Almost surely, 2253199580 is an apocalyptic number.

253199580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253199580 is an abundant number, since it is smaller than the sum of its proper divisors (480211140).

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

253199580 is a wasteful number, since it uses less digits than its factorization.

253199580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145558 (or 145556 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 253199580 is about 15912.2462273558. The cubic root of 253199580 is about 632.6366195011.

The spelling of 253199580 in words is "two hundred fifty-three million, one hundred ninety-nine thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 145517 291034 436551 582068 727585 873102 1455170 1746204 2182755 2910340 4219993 4365510 8439986 8731020 12659979 16879972 21099965 25319958 42199930 50639916 63299895 84399860 126599790 253199580