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320920920 = 233351631823
BaseRepresentation
bin10011001000001…
…101110101011000
3211100212110202000
4103020031311120
51124123432140
651502241000
710644532335
oct2310156530
9740773660
10320920920
11155173701
128b586160
1351644448
143089b98c
151d292a30
hex1320dd58

320920920 has 128 divisors (see below), whose sum is σ = 1076889600. Its totient is φ = 85007232.

The previous prime is 320920889. The next prime is 320920933. The reversal of 320920920 is 29029023.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 175129 + ... + 176951.

It is an arithmetic number, because the mean of its divisors is an integer number (8413200).

Almost surely, 2320920920 is an apocalyptic number.

320920920 is a gapful number since it is divisible by the number (30) 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 320920920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538444800).

320920920 is an abundant number, since it is smaller than the sum of its proper divisors (755968680).

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

320920920 is a wasteful number, since it uses less digits than its factorization.

320920920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 320920920 is about 17914.2658236390. The cubic root of 320920920 is about 684.6458965098.

Adding to 320920920 its reverse (29029023), we get a palindrome (349949943).

The spelling of 320920920 in words is "three hundred twenty million, nine hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 163 180 216 270 326 360 489 540 652 815 978 1080 1304 1467 1630 1823 1956 2445 2934 3260 3646 3912 4401 4890 5469 5868 6520 7292 7335 8802 9115 9780 10938 11736 14584 14670 16407 17604 18230 19560 21876 22005 27345 29340 32814 35208 36460 43752 44010 49221 54690 58680 65628 72920 82035 88020 98442 109380 131256 164070 176040 196884 218760 246105 297149 328140 393768 492210 594298 656280 891447 984420 1188596 1485745 1782894 1968840 2377192 2674341 2971490 3565788 4457235 5348682 5942980 7131576 8023023 8914470 10697364 11885960 13371705 16046046 17828940 21394728 26743410 32092092 35657880 40115115 53486820 64184184 80230230 106973640 160460460 320920920