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580103496 = 2332731107347
BaseRepresentation
bin100010100100111…
…010110101001000
31111102120022101200
4202210322311020
52142001302441
6133321344200
720242540560
oct4244726510
91442508350
10580103496
112784a9385
12142338060
139325060b
1457087da0
1535ddc7b6
hex2293ad48

580103496 has 192 divisors, whose sum is σ = 1876193280. Its totient is φ = 158440320.

The previous prime is 580103449. The next prime is 580103509. The reversal of 580103496 is 694301085.

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

It is a self number, because there is not a number n which added to its sum of digits gives 580103496.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1671595 + ... + 1671941.

It is an arithmetic number, because the mean of its divisors is an integer number (9771840).

Almost surely, 2580103496 is an apocalyptic number.

580103496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580103496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938096640).

580103496 is an abundant number, since it is smaller than the sum of its proper divisors (1296089784).

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

580103496 is a wasteful number, since it uses less digits than its factorization.

580103496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 580103496 is about 24085.3377804838. The cubic root of 580103496 is about 834.0046926224.

The spelling of 580103496 in words is "five hundred eighty million, one hundred three thousand, four hundred ninety-six".