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556353540 = 223253090853
BaseRepresentation
bin100001001010010…
…100100000000100
31102202212200120200
4201022110200010
52114411303130
6131112330500
716533632661
oct4112244004
91382780520
10556353540
11266057716
121363a3a30
138b3563a2
1453c64a68
1533c9a760
hex21294804

556353540 has 36 divisors (see below), whose sum is σ = 1687606284. Its totient is φ = 148360896.

The previous prime is 556353527. The next prime is 556353541. The reversal of 556353540 is 45353655.

556353540 is a `hidden beast` number, since 5 + 5 + 63 + 53 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 440748036 + 115605504 = 20994^2 + 10752^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×5563535402 = 619058522941063200, which contains 22 as substring.

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 = 556353495 and 556353504.

It is not an unprimeable number, because it can be changed into a prime (556353541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1545247 + ... + 1545606.

Almost surely, 2556353540 is an apocalyptic number.

It is an amenable number.

556353540 is an abundant number, since it is smaller than the sum of its proper divisors (1131252744).

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

556353540 is a wasteful number, since it uses less digits than its factorization.

556353540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090868 (or 3090863 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The square root of 556353540 is about 23587.1477716149. The cubic root of 556353540 is about 822.4641029162.

The spelling of 556353540 in words is "five hundred fifty-six million, three hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3090853 6181706 9272559 12363412 15454265 18545118 27817677 30908530 37090236 46362795 55635354 61817060 92725590 111270708 139088385 185451180 278176770 556353540