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20543400 = 233252101113
BaseRepresentation
bin100111001011…
…1011110101000
31102122201020200
41032113132220
520224342100
62012152200
7336421203
oct116273650
942581220
1020543400
1110661619
126a68660
134343877
142a2a93a
151c0be00
hex13977a8

20543400 has 144 divisors (see below), whose sum is σ = 70291260. Its totient is φ = 5376000.

The previous prime is 20543381. The next prime is 20543401. The reversal of 20543400 is 434502.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6749604 + 13793796 = 2598^2 + 3714^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20543401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181744 + ... + 181856.

Almost surely, 220543400 is an apocalyptic number.

20543400 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 20543400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35145630).

20543400 is an abundant number, since it is smaller than the sum of its proper divisors (49747860).

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

20543400 is a wasteful number, since it uses less digits than its factorization.

20543400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 20543400 is about 4532.4827633428. The cubic root of 20543400 is about 273.8781847914.

Adding to 20543400 its reverse (434502), we get a palindrome (20977902).

The spelling of 20543400 in words is "twenty million, five hundred forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 101 113 120 150 180 200 202 225 226 300 303 339 360 404 450 452 505 565 600 606 678 808 900 904 909 1010 1017 1130 1212 1356 1515 1695 1800 1818 2020 2034 2260 2424 2525 2712 2825 3030 3390 3636 4040 4068 4520 4545 5050 5085 5650 6060 6780 7272 7575 8136 8475 9090 10100 10170 11300 11413 12120 13560 15150 16950 18180 20200 20340 22600 22725 22826 25425 30300 33900 34239 36360 40680 45450 45652 50850 57065 60600 67800 68478 90900 91304 101700 102717 114130 136956 171195 181800 203400 205434 228260 273912 285325 342390 410868 456520 513585 570650 684780 821736 855975 1027170 1141300 1369560 1711950 2054340 2282600 2567925 3423900 4108680 5135850 6847800 10271700 20543400