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421116390 = 232515729803
BaseRepresentation
bin11001000110011…
…011100111100110
31002100101221002100
4121012123213212
51330301211030
6105441552530
713302300402
oct3106334746
91070357070
10421116390
111a6788a82
12b9045746
1369325bc6
143dd00102
1526e85360
hex1919b9e6

421116390 has 48 divisors (see below), whose sum is σ = 1101913488. Its totient is φ = 111578688.

The previous prime is 421116359. The next prime is 421116391. The reversal of 421116390 is 93611124.

421116390 is a `hidden beast` number, since 4 + 21 + 1 + 1 + 639 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421116391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772 + ... + 29031.

It is an arithmetic number, because the mean of its divisors is an integer number (22956531).

Almost surely, 2421116390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421116390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550956744).

421116390 is an abundant number, since it is smaller than the sum of its proper divisors (680797098).

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

421116390 is a wasteful number, since it uses less digits than its factorization.

421116390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29973 (or 29970 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 421116390 is about 20521.1205834379. The cubic root of 421116390 is about 749.5501836076.

The spelling of 421116390 in words is "four hundred twenty-one million, one hundred sixteen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 4710 7065 14130 29803 59606 89409 149015 178818 268227 298030 447045 536454 894090 1341135 2682270 4679071 9358142 14037213 23395355 28074426 42111639 46790710 70186065 84223278 140372130 210558195 421116390