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553040820 = 223253072449
BaseRepresentation
bin100000111101101…
…011101110110100
31102112122101101100
4200331223232310
52113034301240
6130513330100
716463524623
oct4075535664
91375571340
10553040820
112641a4832
12135266930
138a7665b7
14536416ba
1533843e30
hex20f6bbb4

553040820 has 36 divisors (see below), whose sum is σ = 1677557700. Its totient is φ = 147477504.

The previous prime is 553040783. The next prime is 553040827. The reversal of 553040820 is 28040355.

It can be written as a sum of positive squares in 2 ways, for example, as 227527056 + 325513764 = 15084^2 + 18042^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553040827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1536045 + ... + 1536404.

It is an arithmetic number, because the mean of its divisors is an integer number (46598825).

Almost surely, 2553040820 is an apocalyptic number.

It is an amenable number.

553040820 is an abundant number, since it is smaller than the sum of its proper divisors (1124516880).

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

553040820 is a wasteful number, since it uses less digits than its factorization.

553040820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072464 (or 3072459 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 553040820 is about 23516.8199380784. The cubic root of 553040820 is about 820.8284409568.

The spelling of 553040820 in words is "five hundred fifty-three million, forty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3072449 6144898 9217347 12289796 15362245 18434694 27652041 30724490 36869388 46086735 55304082 61448980 92173470 110608164 138260205 184346940 276520410 553040820