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20806380 = 2232573337
BaseRepresentation
bin100111101011…
…1101011101100
31110011001222200
41033113223230
520311301010
62021541500
7341565000
oct117275354
943131880
1020806380
1110821161
126b74890
13440648a
142a98700
151c5ecc0
hex13d7aec

20806380 has 144 divisors (see below), whose sum is σ = 73819200. Its totient is φ = 4741632.

The previous prime is 20806339. The next prime is 20806391. The reversal of 20806380 is 8360802.

20806380 is a `hidden beast` number, since 20 + 8 + 0 + 638 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61572 + ... + 61908.

Almost surely, 220806380 is an apocalyptic number.

20806380 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 20806380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36909600).

20806380 is an abundant number, since it is smaller than the sum of its proper divisors (53012820).

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

20806380 is a wasteful number, since it uses less digits than its factorization.

20806380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20806380 is about 4561.4011005392. The cubic root of 20806380 is about 275.0418889358.

The spelling of 20806380 in words is "twenty million, eight hundred six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 337 343 420 441 490 588 630 674 686 735 882 980 1011 1029 1260 1348 1372 1470 1685 1715 1764 2022 2058 2205 2359 2940 3033 3087 3370 3430 4044 4116 4410 4718 5055 5145 6066 6174 6740 6860 7077 8820 9436 10110 10290 11795 12132 12348 14154 15165 15435 16513 20220 20580 21231 23590 28308 30330 30870 33026 35385 42462 47180 49539 60660 61740 66052 70770 82565 84924 99078 106155 115591 141540 148617 165130 198156 212310 231182 247695 297234 330260 346773 424620 462364 495390 577955 594468 693546 743085 990780 1040319 1155910 1387092 1486170 1733865 2080638 2311820 2972340 3467730 4161276 5201595 6935460 10403190 20806380