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400420110 = 235232920011
BaseRepresentation
bin10111110111011…
…110110100001110
31000220110110010110
4113313132310032
51310001420420
6103422220450
712631341366
oct2767366416
91026413113
10400420110
11196032612
12b2124726
1364c5a89c
143b2739a6
1525247ee0
hex17dded0e

400420110 has 64 divisors (see below), whose sum is σ = 1037422080. Its totient is φ = 98609280.

The previous prime is 400420109. The next prime is 400420129. The reversal of 400420110 is 11024004.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10005 + ... + 30015.

It is an arithmetic number, because the mean of its divisors is an integer number (16209720).

Almost surely, 2400420110 is an apocalyptic number.

It is a pronic number, being equal to 20010×20011.

It is a practical number, because each smaller number is the sum of distinct divisors of 400420110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518711040).

400420110 is an abundant number, since it is smaller than the sum of its proper divisors (637001970).

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

400420110 is a wasteful number, since it uses less digits than its factorization.

400420110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20073.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 400420110 is about 20010.4999937533. The cubic root of 400420110 is about 737.0641592202.

Adding to 400420110 its reverse (11024004), we get a palindrome (411444114).

The spelling of 400420110 in words is "four hundred million, four hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 230 290 345 435 667 690 870 1334 2001 3335 4002 6670 10005 20010 20011 40022 60033 100055 120066 200110 300165 460253 580319 600330 920506 1160638 1380759 1740957 2301265 2761518 2901595 3481914 4602530 5803190 6903795 8704785 13347337 13807590 17409570 26694674 40042011 66736685 80084022 133473370 200210055 400420110