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20404200 = 23352311097
BaseRepresentation
bin100110111010…
…1011111101000
31102101122022010
41031311133220
520210413300
62005155520
7335301315
oct115653750
942348263
1020404200
1110576a83
1269bbba0
1342c53bb
1429d1d0c
151bd0a50
hex13757e8

20404200 has 96 divisors (see below), whose sum is σ = 65352960. Its totient is φ = 5260800.

The previous prime is 20404187. The next prime is 20404213. The reversal of 20404200 is 240402.

It is an interprime number because it is at equal distance from previous prime (20404187) and next prime (20404213).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18052 + ... + 19148.

It is an arithmetic number, because the mean of its divisors is an integer number (680760).

Almost surely, 220404200 is an apocalyptic number.

20404200 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 20404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32676480).

20404200 is an abundant number, since it is smaller than the sum of its proper divisors (44948760).

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

20404200 is a wasteful number, since it uses less digits than its factorization.

20404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 20404200 is about 4517.1008401407. The cubic root of 20404200 is about 273.2581920491.

Adding to 20404200 its reverse (240402), we get a palindrome (20644602).

The spelling of 20404200 in words is "twenty million, four hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1097 1240 1550 1860 2194 2325 3100 3291 3720 4388 4650 5485 6200 6582 8776 9300 10970 13164 16455 18600 21940 26328 27425 32910 34007 43880 54850 65820 68014 82275 102021 109700 131640 136028 164550 170035 204042 219400 272056 329100 340070 408084 510105 658200 680140 816168 850175 1020210 1360280 1700350 2040420 2550525 3400700 4080840 5101050 6801400 10202100 20404200