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1930528320 = 26357287281
BaseRepresentation
bin111001100010001…
…1000011001000000
311222112121222222220
41303010120121000
512423203401240
6515321531040
765561135310
oct16304303100
94875558886
101930528320
11900807556
1245a643a80
13249c62166
14144573440
15b473d5d0
hex73118640

1930528320 has 112 divisors (see below), whose sum is σ = 7005084288. Its totient is φ = 441262080.

The previous prime is 1930528319. The next prime is 1930528333. The reversal of 1930528320 is 238250391.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136921 + ... + 150360.

Almost surely, 21930528320 is an apocalyptic number.

1930528320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1930528320 is an abundant number, since it is smaller than the sum of its proper divisors (5074555968).

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

1930528320 is a wasteful number, since it uses less digits than its factorization.

1930528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287308 (or 287298 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1930528320 is about 43937.7778227347. Note that the first 3 decimals coincide. The cubic root of 1930528320 is about 1245.1606637710.

The spelling of 1930528320 in words is "one billion, nine hundred thirty million, five hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 287281 574562 861843 1149124 1436405 1723686 2010967 2298248 2872810 3447372 4021934 4309215 4596496 5745620 6032901 6894744 8043868 8618430 9192992 10054835 11491240 12065802 13789488 16087736 17236860 18385984 20109670 22982480 24131604 27578976 30164505 32175472 34473720 40219340 45964960 48263208 55157952 60329010 64350944 68947440 80438680 91929920 96526416 120658020 128701888 137894880 160877360 193052832 241316040 275789760 321754720 386105664 482632080 643509440 965264160 1930528320