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1663060140 = 223357597457
BaseRepresentation
bin110001100100000…
…0100100010101100
311021220100012122000
41203020010202230
511401220411030
6433005052300
756132530560
oct14310044254
94256305560
101663060140
11783832775
123a4b57090
13206714871
1411ac2b6a0
159b008860
hex632048ac

1663060140 has 192 divisors, whose sum is σ = 6014131200. Its totient is φ = 373635072.

The previous prime is 1663060099. The next prime is 1663060151. The reversal of 1663060140 is 410603661.

1663060140 is a `hidden beast` number, since 16 + 6 + 3 + 0 + 601 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 219292 + ... + 226748.

It is an arithmetic number, because the mean of its divisors is an integer number (31323600).

Almost surely, 21663060140 is an apocalyptic number.

1663060140 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 1663060140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007065600).

1663060140 is an abundant number, since it is smaller than the sum of its proper divisors (4351071060).

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

1663060140 is a wasteful number, since it uses less digits than its factorization.

1663060140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7541 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1663060140 is about 40780.6343746637. The cubic root of 1663060140 is about 1184.7752818554.

The spelling of 1663060140 in words is "one billion, six hundred sixty-three million, sixty thousand, one hundred forty".