Search a number
-
+
421315830 = 23551313337
BaseRepresentation
bin11001000111001…
…100010011110110
31002100210001200000
4121013030103312
51330324101310
6105450132130
713304061015
oct3107142366
91070701600
10421315830
111a6904901
12b9121046
1369395910
143dd52a7c
1526ec44c0
hex191cc4f6

421315830 has 96 divisors (see below), whose sum is σ = 1223468064. Its totient is φ = 103700736.

The previous prime is 421315801. The next prime is 421315883. The reversal of 421315830 is 38513124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 421315794 and 421315803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24922 + ... + 38258.

It is an arithmetic number, because the mean of its divisors is an integer number (12744459).

Almost surely, 2421315830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421315830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611734032).

421315830 is an abundant number, since it is smaller than the sum of its proper divisors (802152234).

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

421315830 is a wasteful number, since it uses less digits than its factorization.

421315830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13372 (or 13360 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 421315830 is about 20525.9793919803. The cubic root of 421315830 is about 749.6684934928.

Adding to 421315830 its reverse (38513124), we get a palindrome (459828954).

It can be divided in two parts, 42131 and 5830, that added together give a square (47961 = 2192).

The spelling of 421315830 in words is "four hundred twenty-one million, three hundred fifteen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 810 1053 1170 1215 1755 2106 2430 3159 3510 5265 6318 10530 13337 15795 26674 31590 40011 66685 80022 120033 133370 173381 200055 240066 346762 360099 400110 520143 600165 720198 866905 1040286 1080297 1200330 1560429 1733810 1800495 2160594 2600715 3120858 3240891 3600990 4681287 5201430 5401485 6481782 7802145 9362574 10802970 14043861 15604290 16204455 23406435 28087722 32408910 42131583 46812870 70219305 84263166 140438610 210657915 421315830