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1014380505 = 32522541789
BaseRepresentation
bin111100011101100…
…011011111011001
32121200201212110100
4330131203133121
54034140134010
6244353410013
734065043365
oct7435433731
92550655410
101014380505
114806560a6
12243869909
13132203868
1498a122a5
155e0c22c0
hex3c7637d9

1014380505 has 12 divisors (see below), whose sum is σ = 1758259620. Its totient is φ = 541002912.

The previous prime is 1014380489. The next prime is 1014380513. The reversal of 1014380505 is 5050834101.

1014380505 is a `hidden beast` number, since 10 + 143 + 8 + 0 + 505 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 769896009 + 244484496 = 27747^2 + 15636^2 .

It is not a de Polignac number, because 1014380505 - 24 = 1014380489 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11270850 + ... + 11270939.

It is an arithmetic number, because the mean of its divisors is an integer number (146521635).

Almost surely, 21014380505 is an apocalyptic number.

1014380505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1014380505 is a deficient number, since it is larger than the sum of its proper divisors (743879115).

1014380505 is a wasteful number, since it uses less digits than its factorization.

1014380505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22541800 (or 22541797 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1014380505 is about 31849.3407310104. The cubic root of 1014380505 is about 1004.7707058393.

The spelling of 1014380505 in words is "one billion, fourteen million, three hundred eighty thousand, five hundred five".

Divisors: 1 3 5 9 15 45 22541789 67625367 112708945 202876101 338126835 1014380505