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20454400 = 210521747
BaseRepresentation
bin100111000000…
…1110000000000
31102111012011101
41032001300000
520214020100
62010224144
7335600551
oct116016000
942435141
1020454400
111060076a
126a25054
1343121c5
142a06328
151be086a
hex1381c00

20454400 has 132 divisors (see below), whose sum is σ = 54826848. Its totient is φ = 7536640.

The previous prime is 20454361. The next prime is 20454403. The reversal of 20454400 is 445402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20454403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435177 + ... + 435223.

Almost surely, 220454400 is an apocalyptic number.

20454400 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 20454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27413424).

20454400 is an abundant number, since it is smaller than the sum of its proper divisors (34372448).

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

20454400 is a wasteful number, since it uses less digits than its factorization.

20454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 20454400 is about 4522.6540880328. The cubic root of 20454400 is about 273.4821055395.

Adding to 20454400 its reverse (445402), we get a palindrome (20899802).

The spelling of 20454400 in words is "twenty million, four hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 47 50 64 68 80 85 94 100 128 136 160 170 188 200 235 256 272 320 340 376 400 425 470 512 544 640 680 752 799 800 850 940 1024 1088 1175 1280 1360 1504 1598 1600 1700 1880 2176 2350 2560 2720 3008 3196 3200 3400 3760 3995 4352 4700 5120 5440 6016 6392 6400 6800 7520 7990 8704 9400 10880 12032 12784 12800 13600 15040 15980 17408 18800 19975 21760 24064 25568 25600 27200 30080 31960 37600 39950 43520 48128 51136 54400 60160 63920 75200 79900 87040 102272 108800 120320 127840 150400 159800 204544 217600 240640 255680 300800 319600 409088 435200 511360 601600 639200 818176 1022720 1203200 1278400 2045440 2556800 4090880 5113600 10227200 20454400