Search a number
-
+
1730123648 = 27114312851
BaseRepresentation
bin110011100011111…
…1001011110000000
311110120112101110122
41213013321132000
512020402424043
6443402315412
760605544161
oct14707713600
94416471418
101730123648
11808678560
124034b8b68
13217595906
14125ac7768
15a1d54368
hex671f9780

1730123648 has 64 divisors (see below), whose sum is σ = 3770115840. Its totient is φ = 784320000.

The previous prime is 1730123639. The next prime is 1730123683. The reversal of 1730123648 is 8463210371.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 605423 + ... + 608273.

It is an arithmetic number, because the mean of its divisors is an integer number (58908060).

Almost surely, 21730123648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1730123648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885057920).

1730123648 is an abundant number, since it is smaller than the sum of its proper divisors (2039992192).

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

1730123648 is a wasteful number, since it uses less digits than its factorization.

1730123648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 1730123648 is about 41594.7550539729. The cubic root of 1730123648 is about 1200.4913839426.

The spelling of 1730123648 in words is "one billion, seven hundred thirty million, one hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 431 704 862 1408 1724 2851 3448 4741 5702 6896 9482 11404 13792 18964 22808 27584 31361 37928 45616 55168 62722 75856 91232 125444 151712 182464 250888 303424 364928 501776 606848 1003552 1228781 2007104 2457562 4014208 4915124 9830248 13516591 19660496 27033182 39320992 54066364 78641984 108132728 157283968 216265456 432530912 865061824 1730123648