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20677320 = 23325193023
BaseRepresentation
bin100111011100…
…0001011001000
31102220111221200
41032320023020
520243133240
62015104200
7340516506
oct116701310
942814850
1020677320
11107431a4
126b12060
13438c801
142a63676
151c36930
hex13b82c8

20677320 has 96 divisors (see below), whose sum is σ = 70761600. Its totient is φ = 5222016.

The previous prime is 20677313. The next prime is 20677331. The reversal of 20677320 is 2377602.

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 23 ways as a sum of consecutive naturals, for example, 5329 + ... + 8351.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 220677320 is an apocalyptic number.

20677320 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 20677320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

20677320 is an abundant number, since it is smaller than the sum of its proper divisors (50084280).

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

20677320 is a wasteful number, since it uses less digits than its factorization.

20677320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 20677320 is about 4547.2321251504. The cubic root of 20677320 is about 274.4720227889.

The spelling of 20677320 in words is "twenty million, six hundred seventy-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3023 3420 6046 6840 9069 12092 15115 18138 24184 27207 30230 36276 45345 54414 57437 60460 72552 90690 108828 114874 120920 136035 172311 181380 217656 229748 272070 287185 344622 362760 459496 516933 544140 574370 689244 861555 1033866 1088280 1148740 1378488 1723110 2067732 2297480 2584665 3446220 4135464 5169330 6892440 10338660 20677320