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421104112 = 24111341672
BaseRepresentation
bin11001000110011…
…000100111110000
31002100101022020121
4121012120213300
51330300312422
6105441420024
713302216532
oct3106304760
91070338217
10421104112
111a677a830
12b903a614
1369320440
143dcd9852
1526e818c7
hex191989f0

421104112 has 120 divisors (see below), whose sum is σ = 996779952. Its totient is φ = 169804800.

The previous prime is 421104109. The next prime is 421104113. The reversal of 421104112 is 211401124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421104113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6285103 + ... + 6285169.

Almost surely, 2421104112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421104112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498389976).

421104112 is an abundant number, since it is smaller than the sum of its proper divisors (575675840).

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

421104112 is a wasteful number, since it uses less digits than its factorization.

421104112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 421104112 is about 20520.8214260541. The cubic root of 421104112 is about 749.5428989496.

Adding to 421104112 its reverse (211401124), we get a palindrome (632505236).

The spelling of 421104112 in words is "four hundred twenty-one million, one hundred four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 41 44 52 67 82 88 104 134 143 164 176 208 268 286 328 451 533 536 572 656 737 871 902 1066 1072 1144 1474 1742 1804 2132 2288 2747 2948 3484 3608 4264 4489 5494 5863 5896 6968 7216 8528 8978 9581 10988 11726 11792 13936 17956 19162 21976 23452 30217 35711 35912 38324 43952 46904 49379 58357 60434 71422 71824 76648 93808 98758 116714 120868 142844 153296 184049 197516 233428 241736 285688 368098 392821 395032 466856 483472 571376 641927 736196 785642 790064 933712 1283854 1472392 1571284 2024539 2392637 2567708 2944784 3142568 4049078 4785274 5135416 6285136 8098156 9570548 10270832 16196312 19141096 26319007 32392624 38282192 52638014 105276028 210552056 421104112