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1930238973 = 321317970457
BaseRepresentation
bin111001100001101…
…0001101111111101
311222112002022002100
41303003101233331
512423120121343
6515311415313
765555521605
oct16303215775
94875068070
101930238973
1190062a123
1245a524539
13249b90550
141444d9c05
15b46d29d3
hex730d1bfd

1930238973 has 24 divisors (see below), whose sum is σ = 3179220408. Its totient is φ = 1117965312.

The previous prime is 1930238951. The next prime is 1930239001. The reversal of 1930238973 is 3798320391.

It can be written as a sum of positive squares in 4 ways, for example, as 115734564 + 1814504409 = 10758^2 + 42597^2 .

It is not a de Polignac number, because 1930238973 - 29 = 1930238461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1930238923) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 483240 + ... + 487217.

It is an arithmetic number, because the mean of its divisors is an integer number (132467517).

Almost surely, 21930238973 is an apocalyptic number.

1930238973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1930238973 is a deficient number, since it is larger than the sum of its proper divisors (1248981435).

1930238973 is a wasteful number, since it uses less digits than its factorization.

1930238973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970493 (or 970490 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1930238973 is about 43934.4850089312. The cubic root of 1930238973 is about 1245.0984525617.

The spelling of 1930238973 in words is "one billion, nine hundred thirty million, two hundred thirty-eight thousand, nine hundred seventy-three".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 970457 2911371 8734113 12615941 16497769 37847823 49493307 113543469 148479921 214470997 643412991 1930238973