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1930514016 = 253172351431
BaseRepresentation
bin111001100010001…
…0100111001100000
311222112121021101010
41303010110321200
512423202422031
6515321340520
765561045514
oct16304247140
94875537333
101930514016
119007a7832
1245a637740
13249c587b2
1414456c144
15b4739246
hex73114e60

1930514016 has 96 divisors (see below), whose sum is σ = 5599093248. Its totient is φ = 579307520.

The previous prime is 1930513997. The next prime is 1930514059. The reversal of 1930514016 is 6104150391.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11821 + ... + 63251.

It is an arithmetic number, because the mean of its divisors is an integer number (58323888).

Almost surely, 21930514016 is an apocalyptic number.

1930514016 is a gapful number since it is divisible by the number (16) 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 1930514016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799546624).

1930514016 is an abundant number, since it is smaller than the sum of its proper divisors (3668579232).

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

1930514016 is a wasteful number, since it uses less digits than its factorization.

1930514016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51484 (or 51476 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1930514016 is about 43937.6150467911. The cubic root of 1930514016 is about 1245.1575884777.

The spelling of 1930514016 in words is "one billion, nine hundred thirty million, five hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 68 69 92 96 102 136 138 184 204 272 276 368 391 408 544 552 736 782 816 1104 1173 1564 1632 2208 2346 3128 4692 6256 9384 12512 18768 37536 51431 102862 154293 205724 308586 411448 617172 822896 874327 1182913 1234344 1645792 1748654 2365826 2468688 2622981 3497308 3548739 4731652 4937376 5245962 6994616 7097478 9463304 10491924 13989232 14194956 18926608 20109521 20983848 27978464 28389912 37853216 40219042 41967696 56779824 60328563 80438084 83935392 113559648 120657126 160876168 241314252 321752336 482628504 643504672 965257008 1930514016