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494145120 = 253571741211
BaseRepresentation
bin11101011101000…
…000111001100000
31021102211011200010
4131131000321200
52003000120440
6121011124520
715150110220
oct3535007140
91242734603
10494145120
11233a285a7
121195a3740
137b4b5181
14498b0080
152d5ad580
hex1d740e60

494145120 has 384 divisors, whose sum is σ = 1938650112. Its totient is φ = 103219200.

The previous prime is 494145109. The next prime is 494145143. The reversal of 494145120 is 21541494.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2341815 + ... + 2342025.

It is an arithmetic number, because the mean of its divisors is an integer number (5048568).

Almost surely, 2494145120 is an apocalyptic number.

494145120 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 494145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969325056).

494145120 is an abundant number, since it is smaller than the sum of its proper divisors (1444504992).

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

494145120 is a wasteful number, since it uses less digits than its factorization.

494145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 494145120 is about 22229.3751599095. The cubic root of 494145120 is about 790.5903401409.

The spelling of 494145120 in words is "four hundred ninety-four million, one hundred forty-five thousand, one hundred twenty".