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561983136 = 253111324767
BaseRepresentation
bin100001011111110…
…010111010100000
31110011110200221020
4201133302322200
52122331430021
6131433125440
716632530541
oct4137627240
91404420836
10561983136
11269252280
12138259880
138c577900
14548cc4c8
153450d7c6
hex217f2ea0

561983136 has 288 divisors, whose sum is σ = 1806271488. Its totient is φ = 151557120.

The previous prime is 561983131. The next prime is 561983137. The reversal of 561983136 is 631389165.

It is a happy number.

561983136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (561983131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8387775 + ... + 8387841.

It is an arithmetic number, because the mean of its divisors is an integer number (6271776).

Almost surely, 2561983136 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 561983136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903135744).

561983136 is an abundant number, since it is smaller than the sum of its proper divisors (1244288352).

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

561983136 is a wasteful number, since it uses less digits than its factorization.

561983136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 561983136 is about 23706.1834971385. The cubic root of 561983136 is about 825.2288981020.

The spelling of 561983136 in words is "five hundred sixty-one million, nine hundred eighty-three thousand, one hundred thirty-six".