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20322720 = 25325111283
BaseRepresentation
bin100110110000…
…1100110100000
31102020111112100
41031201212200
520200311340
62003330400
7334511625
oct115414640
942214470
1020322720
1110520840
126980a00
1342972a2
1429b034c
151bb6830
hex13619a0

20322720 has 144 divisors (see below), whose sum is σ = 75714912. Its totient is φ = 4922880.

The previous prime is 20322719. The next prime is 20322733. The reversal of 20322720 is 2722302.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20322693 and 20322702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15199 + ... + 16481.

It is an arithmetic number, because the mean of its divisors is an integer number (525798).

Almost surely, 220322720 is an apocalyptic number.

20322720 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 20322720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37857456).

20322720 is an abundant number, since it is smaller than the sum of its proper divisors (55392192).

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

20322720 is a wasteful number, since it uses less digits than its factorization.

20322720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 20322720 is about 4508.0727589514. The cubic root of 20322720 is about 272.8939732375.

The spelling of 20322720 in words is "twenty million, three hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1283 1320 1440 1584 1760 1980 2566 2640 3168 3849 3960 5132 5280 6415 7698 7920 10264 11547 12830 14113 15396 15840 19245 20528 23094 25660 28226 30792 38490 41056 42339 46188 51320 56452 57735 61584 70565 76980 84678 92376 102640 112904 115470 123168 127017 141130 153960 169356 184752 205280 211695 225808 230940 254034 282260 307920 338712 369504 423390 451616 461880 508068 564520 615840 635085 677424 846780 923760 1016136 1129040 1270170 1354848 1693560 1847520 2032272 2258080 2540340 3387120 4064544 5080680 6774240 10161360 20322720