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20926980 = 223251929211
BaseRepresentation
bin100111111010…
…1001000000100
31110101012102100
41033311020010
520324130410
62024312100
7342606414
oct117651004
943335370
1020926980
11108a3828
127012630
134449339
142aca644
151c858c0
hex13f5204

20926980 has 144 divisors (see below), whose sum is σ = 69451200. Its totient is φ = 5080320.

The previous prime is 20926979. The next prime is 20926993. The reversal of 20926980 is 8962902.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 99075 + ... + 99285.

It is an arithmetic number, because the mean of its divisors is an integer number (482300).

Almost surely, 220926980 is an apocalyptic number.

20926980 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 20926980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34725600).

20926980 is an abundant number, since it is smaller than the sum of its proper divisors (48524220).

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

20926980 is a wasteful number, since it uses less digits than its factorization.

20926980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 20926980 is about 4574.6016219995. The cubic root of 20926980 is about 275.5722738392.

The spelling of 20926980 in words is "twenty million, nine hundred twenty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 36 38 45 57 58 60 76 87 90 95 114 116 145 171 174 180 190 211 228 261 285 290 342 348 380 422 435 522 551 570 580 633 684 844 855 870 1044 1055 1102 1140 1266 1305 1653 1710 1740 1899 2110 2204 2532 2610 2755 3165 3306 3420 3798 4009 4220 4959 5220 5510 6119 6330 6612 7596 8018 8265 9495 9918 11020 12027 12238 12660 16036 16530 18357 18990 19836 20045 24054 24476 24795 30595 33060 36081 36714 37980 40090 48108 49590 55071 60135 61190 72162 73428 80180 91785 99180 110142 116261 120270 122380 144324 180405 183570 220284 232522 240540 275355 348783 360810 367140 465044 550710 581305 697566 721620 1046349 1101420 1162610 1395132 1743915 2092698 2325220 3487830 4185396 5231745 6975660 10463490 20926980