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8420040 = 23325191231
BaseRepresentation
bin100000000111…
…101011001000
3120211210010100
4200013223020
54123420130
6500245400
7131366136
oct40075310
916753110
108420040
114831112
1229a0860
13198a695
141192756
15b14c60
hex807ac8

8420040 has 96 divisors (see below), whose sum is σ = 28828800. Its totient is φ = 2125440.

The previous prime is 8420029. The next prime is 8420051. The reversal of 8420040 is 400248.

It is a happy number.

8420040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8420029) and next prime (8420051).

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 = 8419995 and 8420022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6225 + ... + 7455.

It is an arithmetic number, because the mean of its divisors is an integer number (300300).

Almost surely, 28420040 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 8420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414400).

8420040 is an abundant number, since it is smaller than the sum of its proper divisors (20408760).

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

8420040 is a wasteful number, since it uses less digits than its factorization.

8420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1260 counting only the distinct ones).

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

The square root of 8420040 is about 2901.7305181564. The cubic root of 8420040 is about 203.4407983991.

Adding to 8420040 its reverse (400248), we get a palindrome (8820288).

The spelling of 8420040 in words is "eight million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1231 1368 1710 2280 2462 3420 3693 4924 6155 6840 7386 9848 11079 12310 14772 18465 22158 23389 24620 29544 36930 44316 46778 49240 55395 70167 73860 88632 93556 110790 116945 140334 147720 187112 210501 221580 233890 280668 350835 421002 443160 467780 561336 701670 842004 935560 1052505 1403340 1684008 2105010 2806680 4210020 8420040