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553155120 = 243257215679
BaseRepresentation
bin100000111110000…
…111101000110000
31102112212012011200
4200332013220300
52113101430440
6130520011200
716464512100
oct4076075060
91375765150
10553155120
112642726a1
12135300b00
138a7a662b
1453671200
1533867c30
hex20f87a30

553155120 has 180 divisors, whose sum is σ = 2161111680. Its totient is φ = 126427392.

The previous prime is 553155073. The next prime is 553155121. The reversal of 553155120 is 21551355.

553155120 is a `hidden beast` number, since 5 + 531 + 5 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (553155121) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 27441 + ... + 43119.

It is an arithmetic number, because the mean of its divisors is an integer number (12006176).

Almost surely, 2553155120 is an apocalyptic number.

553155120 is the 11760-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080555840).

553155120 is an abundant number, since it is smaller than the sum of its proper divisors (1607956560).

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

553155120 is a wasteful number, since it uses less digits than its factorization.

553155120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15712 (or 15696 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 553155120 is about 23519.2499880417. The cubic root of 553155120 is about 820.8849854436.

The spelling of 553155120 in words is "five hundred fifty-three million, one hundred fifty-five thousand, one hundred twenty".