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20873400 = 23352191831
BaseRepresentation
bin100111110100…
…0000010111000
31110021110220220
41033220002320
520320422100
62023220040
7342264252
oct117500270
943243826
1020873400
1110867549
126ba7620
13442ab32
142ab4cd2
151c74aa0
hex13e80b8

20873400 has 96 divisors (see below), whose sum is σ = 68150400. Its totient is φ = 5270400.

The previous prime is 20873393. The next prime is 20873423. The reversal of 20873400 is 437802.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 10485 + ... + 12315.

It is an arithmetic number, because the mean of its divisors is an integer number (709900).

Almost surely, 220873400 is an apocalyptic number.

20873400 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 20873400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34075200).

20873400 is an abundant number, since it is smaller than the sum of its proper divisors (47277000).

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

20873400 is a wasteful number, since it uses less digits than its factorization.

20873400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20873400 is about 4568.7416210593. The cubic root of 20873400 is about 275.3368874047.

The spelling of 20873400 in words is "twenty million, eight hundred seventy-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1831 1900 2280 2850 3662 3800 5493 5700 7324 9155 10986 11400 14648 18310 21972 27465 34789 36620 43944 45775 54930 69578 73240 91550 104367 109860 137325 139156 173945 183100 208734 219720 274650 278312 347890 366200 417468 521835 549300 695780 834936 869725 1043670 1098600 1391560 1739450 2087340 2609175 3478900 4174680 5218350 6957800 10436700 20873400