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2404110420 = 22325172334159
BaseRepresentation
bin1000111101001011…
…1101000001010100
320012112202110111200
42033102331001110
514410423013140
61034320232500
7113401413165
oct21722750124
96175673450
102404110420
11102406a818
1257116b730
132c40c785a
1418b40d76c
15e10d9030
hex8f4bd054

2404110420 has 144 divisors (see below), whose sum is σ = 8057387520. Its totient is φ = 577133568.

The previous prime is 2404110389. The next prime is 2404110461. The reversal of 2404110420 is 240114042.

2404110420 is a `hidden beast` number, since 240 + 4 + 1 + 1 + 0 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2404110393 and 2404110402.

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, 53301 + ... + 87459.

It is an arithmetic number, because the mean of its divisors is an integer number (55954080).

Almost surely, 22404110420 is an apocalyptic number.

2404110420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404110420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028693760).

2404110420 is an abundant number, since it is smaller than the sum of its proper divisors (5653277100).

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

2404110420 is a wasteful number, since it uses less digits than its factorization.

2404110420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34214 (or 34209 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2404110420 is about 49031.7287070321. The cubic root of 2404110420 is about 1339.6298116047.

Adding to 2404110420 its reverse (240114042), we get a palindrome (2644224462).

The spelling of 2404110420 in words is "two billion, four hundred four million, one hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 30 34 36 45 46 51 60 68 69 85 90 92 102 115 138 153 170 180 204 207 230 255 276 306 340 345 391 414 460 510 612 690 765 782 828 1020 1035 1173 1380 1530 1564 1955 2070 2346 3060 3519 3910 4140 4692 5865 7038 7820 11730 14076 17595 23460 34159 35190 68318 70380 102477 136636 170795 204954 307431 341590 409908 512385 580703 614862 683180 785657 1024770 1161406 1229724 1537155 1571314 1742109 2049540 2322812 2356971 2903515 3074310 3142628 3484218 3928285 4713942 5226327 5807030 6148620 6968436 7070913 7856570 8710545 9427884 10452654 11614060 11784855 13356169 14141826 15713140 17421090 20905308 23569710 26131635 26712338 28283652 34842180 35354565 40068507 47139420 52263270 53424676 66780845 70709130 80137014 104526540 120205521 133561690 141418260 160274028 200342535 240411042 267123380 400685070 480822084 601027605 801370140 1202055210 2404110420