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557536140 = 223257442489
BaseRepresentation
bin100001001110110…
…101001110001100
31102212002202210200
4201032311032030
52120212124030
6131153533500
716546656540
oct4116651614
91385082720
10557536140
11266795177
12136874290
138b67b755
1454091a20
1533e30d60
hex213b538c

557536140 has 72 divisors (see below), whose sum is σ = 1932796320. Its totient is φ = 127436544.

The previous prime is 557536129. The next prime is 557536141. The reversal of 557536140 is 41635755.

557536140 is a `hidden beast` number, since 557 + 5 + 3 + 61 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 557536095 and 557536104.

It is not an unprimeable number, because it can be changed into a prime (557536141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219985 + ... + 222504.

Almost surely, 2557536140 is an apocalyptic number.

It is an amenable number.

557536140 is an abundant number, since it is smaller than the sum of its proper divisors (1375260180).

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

557536140 is a wasteful number, since it uses less digits than its factorization.

557536140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442511 (or 442506 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 557536140 is about 23612.2032008875. The cubic root of 557536140 is about 823.0464410820.

The spelling of 557536140 in words is "five hundred fifty-seven million, five hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 442489 884978 1327467 1769956 2212445 2654934 3097423 3982401 4424890 5309868 6194846 6637335 7964802 8849780 9292269 12389692 13274670 15487115 15929604 18584538 19912005 26549340 27876807 30974230 37169076 39824010 46461345 55753614 61948460 79648020 92922690 111507228 139384035 185845380 278768070 557536140