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20678280 = 23357103239
BaseRepresentation
bin100111011100…
…0011010001000
31102220120021020
41032320122020
520243201110
62015112440
7340522350
oct116703210
942816236
1020678280
1110743997
126b12720
13439008c
142a63b60
151c36d70
hex13b8688

20678280 has 128 divisors (see below), whose sum is σ = 71884800. Its totient is φ = 4660992.

The previous prime is 20678279. The next prime is 20678291. The reversal of 20678280 is 8287602.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 86401 + ... + 86639.

It is an arithmetic number, because the mean of its divisors is an integer number (561600).

Almost surely, 220678280 is an apocalyptic number.

20678280 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 20678280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35942400).

20678280 is an abundant number, since it is smaller than the sum of its proper divisors (51206520).

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

20678280 is a wasteful number, since it uses less digits than its factorization.

20678280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 20678280 is about 4547.3376826446. The cubic root of 20678280 is about 274.4762704229.

The spelling of 20678280 in words is "twenty million, six hundred seventy-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 103 105 120 140 168 206 210 239 280 309 412 420 478 515 618 717 721 824 840 956 1030 1195 1236 1434 1442 1545 1673 1912 2060 2163 2390 2472 2868 2884 3090 3346 3585 3605 4120 4326 4780 5019 5736 5768 6180 6692 7170 7210 8365 8652 9560 10038 10815 12360 13384 14340 14420 16730 17304 20076 21630 24617 25095 28680 28840 33460 40152 43260 49234 50190 66920 73851 86520 98468 100380 123085 147702 172319 196936 200760 246170 295404 344638 369255 492340 516957 590808 689276 738510 861595 984680 1033914 1378552 1477020 1723190 2067828 2584785 2954040 3446380 4135656 5169570 6892760 10339140 20678280