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20400300 = 223252191193
BaseRepresentation
bin100110111010…
…0100010101100
31102101102221200
41031310202230
520210302200
62005125500
7335254044
oct115644254
942342850
1020400300
1110574058
1269b9890
1342c36ab
1429d0724
151bce800
hex13748ac

20400300 has 108 divisors (see below), whose sum is σ = 67365480. Its totient is φ = 5149440.

The previous prime is 20400277. The next prime is 20400301. The reversal of 20400300 is 300402.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20400301) 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, 16504 + ... + 17696.

Almost surely, 220400300 is an apocalyptic number.

20400300 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 20400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33682740).

20400300 is an abundant number, since it is smaller than the sum of its proper divisors (46965180).

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

20400300 is a wasteful number, since it uses less digits than its factorization.

20400300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 20400300 is about 4516.6691266906. The cubic root of 20400300 is about 273.2407810119.

Adding to 20400300 its reverse (300402), we get a palindrome (20700702).

The spelling of 20400300 in words is "twenty million, four hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1193 1425 1710 1900 2386 2850 3420 3579 4275 4772 5700 5965 7158 8550 10737 11930 14316 17100 17895 21474 22667 23860 29825 35790 42948 45334 53685 59650 68001 71580 89475 90668 107370 113335 119300 136002 178950 204003 214740 226670 268425 272004 340005 357900 408006 453340 536850 566675 680010 816012 1020015 1073700 1133350 1360020 1700025 2040030 2266700 3400050 4080060 5100075 6800100 10200150 20400300