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20412150 = 23521189139
BaseRepresentation
bin100110111011…
…1011011110110
31102102001012120
41031313123312
520211142100
62005300410
7335333433
oct115673366
942361176
1020412150
1110581a50
126a04706
1342c8bc5
1429d4b8a
151bd30a0
hex13776f6

20412150 has 96 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 4857600.

The previous prime is 20412149. The next prime is 20412151. The reversal of 20412150 is 5121402.

It is an interprime number because it is at equal distance from previous prime (20412149) and next prime (20412151).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20412151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146781 + ... + 146919.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 220412150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20412150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

20412150 is an abundant number, since it is smaller than the sum of its proper divisors (35834250).

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

20412150 is a wasteful number, since it uses less digits than its factorization.

20412150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 20412150 is about 4517.9807436509. The cubic root of 20412150 is about 273.2936769092.

Adding to 20412150 its reverse (5121402), we get a palindrome (25533552).

The spelling of 20412150 in words is "twenty million, four hundred twelve thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 89 110 139 150 165 178 267 275 278 330 417 445 534 550 695 825 834 890 979 1335 1390 1529 1650 1958 2085 2225 2670 2937 3058 3475 4170 4450 4587 4895 5874 6675 6950 7645 9174 9790 10425 12371 13350 14685 15290 20850 22935 24475 24742 29370 37113 38225 45870 48950 61855 73425 74226 76450 114675 123710 136081 146850 185565 229350 272162 309275 371130 408243 618550 680405 816486 927825 1360810 1855650 2041215 3402025 4082430 6804050 10206075 20412150