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1073070468 = 223229807513
BaseRepresentation
bin111111111101011…
…100000110000100
32202210011121221200
4333331130012010
54144201223333
6254251342500
735406643221
oct7775340604
92683147850
101073070468
115007a17a8
1225b451a30
13141412452
14a272c948
1564316c13
hex3ff5c184

1073070468 has 18 divisors (see below), whose sum is σ = 2712483774. Its totient is φ = 357690144.

The previous prime is 1073070463. The next prime is 1073070473. The reversal of 1073070468 is 8640703701.

It is an interprime number because it is at equal distance from previous prime (1073070463) and next prime (1073070473).

It can be written as a sum of positive squares in only one way, i.e., 1054820484 + 18249984 = 32478^2 + 4272^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 29807513 = 1073070468 / (1 + 0 + 7 + 3 + 0 + 7 + 0 + 4 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (1073070463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14903721 + ... + 14903792.

It is an arithmetic number, because the mean of its divisors is an integer number (150693543).

Almost surely, 21073070468 is an apocalyptic number.

1073070468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1073070468 is an abundant number, since it is smaller than the sum of its proper divisors (1639413306).

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

1073070468 is a wasteful number, since it uses less digits than its factorization.

1073070468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29807523 (or 29807518 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1073070468 is about 32757.7543186342. The cubic root of 1073070468 is about 1023.7865371799.

The spelling of 1073070468 in words is "one billion, seventy-three million, seventy thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 29807513 59615026 89422539 119230052 178845078 268267617 357690156 536535234 1073070468