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1730413980 = 2232519505969
BaseRepresentation
bin110011100100100…
…0000010110011100
311110121002010201200
41213021000112130
512020441221410
6443412435500
760611163501
oct14711002634
94417063650
101730413980
118088566a9
12403618b90
13217667ac9
14125b614a8
15a1db03c0
hex6724059c

1730413980 has 72 divisors (see below), whose sum is σ = 5525192400. Its totient is φ = 437156352.

The previous prime is 1730413933. The next prime is 1730413991. The reversal of 1730413980 is 893140371.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 249565 + ... + 256404.

Almost surely, 21730413980 is an apocalyptic number.

1730413980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1730413980 is an abundant number, since it is smaller than the sum of its proper divisors (3794778420).

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

1730413980 is a wasteful number, since it uses less digits than its factorization.

1730413980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506003 (or 505998 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1730413980 is about 41598.2449149000. The cubic root of 1730413980 is about 1200.5585316617.

The spelling of 1730413980 in words is "one billion, seven hundred thirty million, four hundred thirteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 505969 1011938 1517907 2023876 2529845 3035814 4553721 5059690 6071628 7589535 9107442 9613411 10119380 15179070 18214884 19226822 22768605 28840233 30358140 38453644 45537210 48067055 57680466 86520699 91074420 96134110 115360932 144201165 173041398 192268220 288402330 346082796 432603495 576804660 865206990 1730413980