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580139820 = 22345133163
BaseRepresentation
bin100010100101000…
…011101100101100
31111102122011020000
4202211003230230
52142003433240
6133322224300
720243051511
oct4245035454
91442564200
10580139820
112785236a7
12142355090
1393264000
1457097308
1535de8430
hex22943b2c

580139820 has 240 divisors, whose sum is σ = 1983606240. Its totient is φ = 141927552.

The previous prime is 580139783. The next prime is 580139827. The reversal of 580139820 is 28931085.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (580139827) 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 79 ways as a sum of consecutive naturals, for example, 3559059 + ... + 3559221.

It is an arithmetic number, because the mean of its divisors is an integer number (8265026).

Almost surely, 2580139820 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 580139820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991803120).

580139820 is an abundant number, since it is smaller than the sum of its proper divisors (1403466420).

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

580139820 is a wasteful number, since it uses less digits than its factorization.

580139820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 580139820 is about 24086.0918374069. The cubic root of 580139820 is about 834.0220997198.

The spelling of 580139820 in words is "five hundred eighty million, one hundred thirty-nine thousand, eight hundred twenty".