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406122270 = 235231314493
BaseRepresentation
bin11000001101001…
…110111100011110
31001022012011000120
4120031032330132
51312431403040
6104144335410
713030660641
oct3015167436
91038164016
10406122270
11199277744
12b4014566
13661a6148
143bd19a58
15259c27d0
hex1834ef1e

406122270 has 64 divisors (see below), whose sum is σ = 1025063424. Its totient is φ = 102776960.

The previous prime is 406122259. The next prime is 406122349. The reversal of 406122270 is 72221604.

It is a self number, because there is not a number n which added to its sum of digits gives 406122270.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88144 + ... + 92636.

It is an arithmetic number, because the mean of its divisors is an integer number (16016616).

Almost surely, 2406122270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406122270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512531712).

406122270 is an abundant number, since it is smaller than the sum of its proper divisors (618941154).

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

406122270 is a wasteful number, since it uses less digits than its factorization.

406122270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 406122270 is about 20152.4755303164. The cubic root of 406122270 is about 740.5463885300.

Adding to 406122270 its reverse (72221604), we get a palindrome (478343874).

The spelling of 406122270 in words is "four hundred six million, one hundred twenty-two thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 131 138 230 262 345 393 655 690 786 1310 1965 3013 3930 4493 6026 8986 9039 13479 15065 18078 22465 26958 30130 44930 45195 67395 90390 103339 134790 206678 310017 516695 588583 620034 1033390 1177166 1550085 1765749 2942915 3100170 3531498 5885830 8828745 13537409 17657490 27074818 40612227 67687045 81224454 135374090 203061135 406122270