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55060560 = 2434529293
BaseRepresentation
bin1101001000001…
…0100001010000
310211121100220000
43102002201100
5103043414220
65244050000
71236002262
oct322024120
9124540800
1055060560
11290978a5
1216533900
13b53a919
147453b32
154c79390
hex3482850

55060560 has 200 divisors, whose sum is σ = 198502920. Its totient is φ = 14128128.

The previous prime is 55060559. The next prime is 55060561. The reversal of 55060560 is 6506055.

55060560 is a `hidden beast` number, since 5 + 50 + 605 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55060559) and next prime (55060561).

It can be written as a sum of positive squares in 4 ways, for example, as 18045504 + 37015056 = 4248^2 + 6084^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55060561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187774 + ... + 188066.

Almost surely, 255060560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55060560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99251460).

55060560 is an abundant number, since it is smaller than the sum of its proper divisors (143442360).

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

55060560 is a wasteful number, since it uses less digits than its factorization.

55060560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 55060560 is about 7420.2803181551. The cubic root of 55060560 is about 380.4347747568.

The spelling of 55060560 in words is "fifty-five million, sixty thousand, five hundred sixty".