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494757120 = 283511131753
BaseRepresentation
bin11101011111010…
…110010100000000
31021110222021011210
4131133112110000
52003124211440
6121032210120
715155236404
oct3537262400
91243867153
10494757120
11234306390
12119839940
137b66a8c0
14499cd104
152d67ea80
hex1d7d6500

494757120 has 576 divisors, whose sum is σ = 2002662144. Its totient is φ = 102236160.

The previous prime is 494757089. The next prime is 494757121. The reversal of 494757120 is 21757494.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494757121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9335014 + ... + 9335066.

It is an arithmetic number, because the mean of its divisors is an integer number (3476844).

Almost surely, 2494757120 is an apocalyptic number.

494757120 is a gapful number since it is divisible by the number (40) 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 494757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001331072).

494757120 is an abundant number, since it is smaller than the sum of its proper divisors (1507905024).

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

494757120 is a wasteful number, since it uses less digits than its factorization.

494757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 494757120 is about 22243.1364694820. The cubic root of 494757120 is about 790.9165882137.

The spelling of 494757120 in words is "four hundred ninety-four million, seven hundred fifty-seven thousand, one hundred twenty".