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505861140 = 223572711597
BaseRepresentation
bin11110001001101…
…101010000010100
31022020212102000210
4132021231100110
52014000024030
6122110205420
715351514551
oct3611552024
91266772023
10505861140
1123a5aaa64
121214b3870
1380a57b25
144b27da28
152e624bb0
hex1e26d414

505861140 has 48 divisors (see below), whose sum is σ = 1418481792. Its totient is φ = 134699136.

The previous prime is 505861091. The next prime is 505861201. The reversal of 505861140 is 41168505.

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

It is a junction number, because it is equal to n+sod(n) for n = 505861098 and 505861107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37822 + ... + 49418.

It is an arithmetic number, because the mean of its divisors is an integer number (29551704).

Almost surely, 2505861140 is an apocalyptic number.

It is an amenable number.

505861140 is an abundant number, since it is smaller than the sum of its proper divisors (912620652).

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

505861140 is a wasteful number, since it uses less digits than its factorization.

505861140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12336 (or 12334 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 505861140 is about 22491.3570066370. The cubic root of 505861140 is about 796.7898126853.

The spelling of 505861140 in words is "five hundred five million, eight hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 727 1454 2181 2908 3635 4362 7270 8724 10905 11597 14540 21810 23194 34791 43620 46388 57985 69582 115970 139164 173955 231940 347910 695820 8431019 16862038 25293057 33724076 42155095 50586114 84310190 101172228 126465285 168620380 252930570 505861140