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406114060 = 225114314283
BaseRepresentation
bin11000001101001…
…100111100001100
31001022011201202111
4120031030330030
51312431122220
6104144233404
713030625002
oct3015147414
91038151674
10406114060
11199271560
12b400b864
13661a24a1
143bd16a72
15259c015a
hex1834cf0c

406114060 has 48 divisors (see below), whose sum is σ = 932746752. Its totient is φ = 147300800.

The previous prime is 406114019. The next prime is 406114067. The reversal of 406114060 is 60411604.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (406114067) 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 15 ways as a sum of consecutive naturals, for example, 92679 + ... + 96961.

It is an arithmetic number, because the mean of its divisors is an integer number (19432224).

Almost surely, 2406114060 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 406114060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466373376).

406114060 is an abundant number, since it is smaller than the sum of its proper divisors (526632692).

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

406114060 is a wasteful number, since it uses less digits than its factorization.

406114060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 406114060 is about 20152.2718322278. The cubic root of 406114060 is about 740.5413983031.

Adding to 406114060 its reverse (60411604), we get a palindrome (466525664).

The spelling of 406114060 in words is "four hundred six million, one hundred fourteen thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 431 862 1724 2155 4283 4310 4741 8566 8620 9482 17132 18964 21415 23705 42830 47113 47410 85660 94226 94820 188452 235565 471130 942260 1845973 3691946 7383892 9229865 18459730 20305703 36919460 40611406 81222812 101528515 203057030 406114060