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20416104 = 2333313049
BaseRepresentation
bin100110111100…
…0011001101000
31102102020122000
41031320121220
520211303404
62005331000
7335351112
oct115703150
942366560
1020416104
1110584a15
126a06a60
1342ca947
1429d63b2
151bd4339
hex1378668

20416104 has 64 divisors (see below), whose sum is σ = 58560000. Its totient is φ = 6583680.

The previous prime is 20416093. The next prime is 20416117. The reversal of 20416104 is 40161402.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5172 + ... + 8220.

It is an arithmetic number, because the mean of its divisors is an integer number (915000).

Almost surely, 220416104 is an apocalyptic number.

20416104 is a gapful number since it is divisible by the number (24) 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 20416104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29280000).

20416104 is an abundant number, since it is smaller than the sum of its proper divisors (38143896).

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

20416104 is a wasteful number, since it uses less digits than its factorization.

20416104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20416104 is about 4518.4183073284. The cubic root of 20416104 is about 273.3113221749.

Adding to 20416104 its reverse (40161402), we get a palindrome (60577506).

The spelling of 20416104 in words is "twenty million, four hundred sixteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3049 3348 6098 6696 9147 12196 18294 24392 27441 36588 54882 73176 82323 94519 109764 164646 189038 219528 283557 329292 378076 567114 658584 756152 850671 1134228 1701342 2268456 2552013 3402684 5104026 6805368 10208052 20416104