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20431320 = 23357131871
BaseRepresentation
bin100110111110…
…0000111011000
31102110000111120
41031330013120
520212300240
62005525240
7335443350
oct115740730
942400446
1020431320
1110595398
126a13820
134304850
1429dbb60
151bd8ad0
hex137c1d8

20431320 has 128 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 4308480.

The previous prime is 20431319. The next prime is 20431343. The reversal of 20431320 is 2313402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20431320.

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, 9985 + ... + 11855.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 220431320 is an apocalyptic number.

20431320 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 20431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

20431320 is an abundant number, since it is smaller than the sum of its proper divisors (55047720).

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

20431320 is a wasteful number, since it uses less digits than its factorization.

20431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 20431320 is about 4520.1017687658. The cubic root of 20431320 is about 273.3792044106.

Adding to 20431320 its reverse (2313402), we get a palindrome (22744722).

The spelling of 20431320 in words is "twenty million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 1871 2184 2730 3640 3742 5460 5613 7484 9355 10920 11226 13097 14968 18710 22452 24323 26194 28065 37420 39291 44904 48646 52388 56130 65485 72969 74840 78582 97292 104776 112260 121615 130970 145938 157164 170261 194584 196455 224520 243230 261940 291876 314328 340522 364845 392910 486460 510783 523880 583752 681044 729690 785820 851305 972920 1021566 1362088 1459380 1571640 1702610 2043132 2553915 2918760 3405220 4086264 5107830 6810440 10215660 20431320