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1490093640 = 2332572347547
BaseRepresentation
bin101100011010001…
…0000011001001000
310211211212121012100
41120310100121020
511022430444030
6403505513400
751632405220
oct13064203110
93754777170
101490093640
116a5134452
12357042860
131a9934219
14101c85080
158ac3e360
hex58d10648

1490093640 has 384 divisors, whose sum is σ = 5908930560. Its totient is φ = 318269952.

The previous prime is 1490093581. The next prime is 1490093653. The reversal of 1490093640 is 463900941.

1490093640 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 0 + 9 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1490093595 and 1490093604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2723847 + ... + 2724393.

It is an arithmetic number, because the mean of its divisors is an integer number (15387840).

Almost surely, 21490093640 is an apocalyptic number.

1490093640 is a gapful number since it is divisible by the number (10) 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 1490093640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954465280).

1490093640 is an abundant number, since it is smaller than the sum of its proper divisors (4418836920).

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

1490093640 is a wasteful number, since it uses less digits than its factorization.

1490093640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1490093640 is about 38601.7310492677. The cubic root of 1490093640 is about 1142.1886853750.

The spelling of 1490093640 in words is "one billion, four hundred ninety million, ninety-three thousand, six hundred forty".