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20320739320 = 23573111092111
BaseRepresentation
bin10010111011001101…
…011101111111111000
31221110012001111212211
4102323031131333320
5313104102124240
613200223544504
71316365301650
oct227315357770
957405044784
1020320739320
118688589242
123b3145b134
131bbac8750b
14daab37360
157ddec4bea
hex4bb35dff8

20320739320 has 128 divisors (see below), whose sum is σ = 54013132800. Its totient is φ = 6733094400.

The previous prime is 20320739281. The next prime is 20320739323. The reversal of 20320739320 is 2393702302.

It is a super-2 number, since 2×203207393202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20320739323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9625065 + ... + 9627175.

It is an arithmetic number, because the mean of its divisors is an integer number (421977600).

Almost surely, 220320739320 is an apocalyptic number.

20320739320 is a gapful number since it is divisible by the number (20) 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 20320739320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27006566400).

20320739320 is an abundant number, since it is smaller than the sum of its proper divisors (33692393480).

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

20320739320 is a wasteful number, since it uses less digits than its factorization.

20320739320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 31.

The spelling of 20320739320 in words is "twenty billion, three hundred twenty million, seven hundred thirty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1109 1240 1736 2111 2170 2218 4222 4340 4436 5545 7763 8444 8680 8872 10555 11090 14777 15526 16888 21110 22180 29554 31052 34379 38815 42220 44360 59108 62104 65441 68758 73885 77630 84440 118216 130882 137516 147770 155260 171895 240653 261764 275032 295540 310520 327205 343790 458087 481306 523528 591080 654410 687580 916174 962612 1203265 1308820 1375160 1832348 1925224 2290435 2341099 2406530 2617640 3664696 4580870 4682198 4813060 9161740 9364396 9626120 11705495 16387693 18323480 18728792 23410990 32775386 46821980 65550772 72574069 81938465 93643960 131101544 145148138 163876930 290296276 327753860 362870345 508018483 580592552 655507720 725740690 1016036966 1451481380 2032073932 2540092415 2902962760 4064147864 5080184830 10160369660 20320739320