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20704400 = 2452191271
BaseRepresentation
bin100111011111…
…0110010010000
31102221220002122
41032332302100
520300020100
62015433412
7340661453
oct116766220
942856078
1020704400
1110761582
126b25868
13439bc32
142a6d49a
151c3e985
hex13bec90

20704400 has 60 divisors (see below), whose sum is σ = 50187264. Its totient is φ = 8208000.

The previous prime is 20704379. The next prime is 20704403. The reversal of 20704400 is 440702.

It is not an unprimeable number, because it can be changed into a prime (20704403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76265 + ... + 76535.

Almost surely, 220704400 is an apocalyptic number.

20704400 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 20704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25093632).

20704400 is an abundant number, since it is smaller than the sum of its proper divisors (29482864).

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

20704400 is a wasteful number, since it uses less digits than its factorization.

20704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 20704400 is about 4550.2087864185. The cubic root of 20704400 is about 274.5917910502.

The spelling of 20704400 in words is "twenty million, seven hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 191 200 271 382 400 542 764 955 1084 1355 1528 1910 2168 2710 3056 3820 4336 4775 5420 6775 7640 9550 10840 13550 15280 19100 21680 27100 38200 51761 54200 76400 103522 108400 207044 258805 414088 517610 828176 1035220 1294025 2070440 2588050 4140880 5176100 10352200 20704400