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20816280 = 23325531091
BaseRepresentation
bin100111101101…
…0000110011000
31110011120120100
41033122012120
520312110110
62022055400
7341635602
oct117320630
943146510
1020816280
1110828641
126b7a560
13440ab34
142a9c172
151c62bc0
hex13da198

20816280 has 96 divisors (see below), whose sum is σ = 68992560. Its totient is φ = 5441280.

The previous prime is 20816261. The next prime is 20816281. The reversal of 20816280 is 8261802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20816281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18535 + ... + 19625.

Almost surely, 220816280 is an apocalyptic number.

20816280 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 20816280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34496280).

20816280 is an abundant number, since it is smaller than the sum of its proper divisors (48176280).

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

20816280 is a wasteful number, since it uses less digits than its factorization.

20816280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 20816280 is about 4562.4861643626. The cubic root of 20816280 is about 275.0855050918.

The spelling of 20816280 in words is "twenty million, eight hundred sixteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1091 1272 1590 1908 2120 2182 2385 3180 3273 3816 4364 4770 5455 6360 6546 8728 9540 9819 10910 13092 16365 19080 19638 21820 26184 32730 39276 43640 49095 57823 65460 78552 98190 115646 130920 173469 196380 231292 289115 346938 392760 462584 520407 578230 693876 867345 1040814 1156460 1387752 1734690 2081628 2312920 2602035 3469380 4163256 5204070 6938760 10408140 20816280