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421102890 = 232513192997
BaseRepresentation
bin11001000110011…
…000010100101010
31002100101020120100
4121012120110222
51330300243030
6105441410230
713302213135
oct3106302452
91070336510
10421102890
111a677991a
12b9039976
136931ca10
143dcd921c
1526e81360
hex1919852a

421102890 has 144 divisors (see below), whose sum is σ = 1245659688. Its totient is φ = 98102016.

The previous prime is 421102873. The next prime is 421102897. The reversal of 421102890 is 98201124.

It can be written as a sum of positive squares in 4 ways, for example, as 338964921 + 82137969 = 18411^2 + 9063^2 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421102897) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 421872 + ... + 422868.

Almost surely, 2421102890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421102890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622829844).

421102890 is an abundant number, since it is smaller than the sum of its proper divisors (824556798).

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

421102890 is a wasteful number, since it uses less digits than its factorization.

421102890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 421102890 is about 20520.7916513959. The cubic root of 421102890 is about 749.5421739172.

The spelling of 421102890 in words is "four hundred twenty-one million, one hundred two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 361 390 494 570 585 722 741 855 997 1083 1170 1235 1482 1710 1805 1994 2166 2223 2470 2991 3249 3610 3705 4446 4693 4985 5415 5982 6498 7410 8973 9386 9970 10830 11115 12961 14079 14955 16245 17946 18943 22230 23465 25922 28158 29910 32490 37886 38883 42237 44865 46930 56829 64805 70395 77766 84474 89730 94715 113658 116649 129610 140790 170487 189430 194415 211185 233298 246259 284145 340974 359917 388830 422370 492518 568290 583245 719834 738777 852435 1079751 1166490 1231295 1477554 1704870 1799585 2159502 2216331 2462590 3239253 3599170 3693885 4432662 4678921 5398755 6478506 7387770 9357842 10797510 11081655 14036763 16196265 22163310 23394605 28073526 32392530 42110289 46789210 70183815 84220578 140367630 210551445 421102890