Search a number
-
+
8420112 = 24347389
BaseRepresentation
bin100000000111…
…101100010000
3120211210020000
4200013230100
54123420422
6500250000
7131366301
oct40075420
916753200
108420112
114831178
1229a0900
13198a71c
1411927a8
15b14cac
hex807b10

8420112 has 100 divisors (see below), whose sum is σ = 24981660. Its totient is φ = 2737152.

The previous prime is 8420051. The next prime is 8420119. The reversal of 8420112 is 2110248.

It can be written as a sum of positive squares in 2 ways, for example, as 3111696 + 5308416 = 1764^2 + 2304^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8420119) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94564 + ... + 94652.

Almost surely, 28420112 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 8420112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12490830).

8420112 is an abundant number, since it is smaller than the sum of its proper divisors (16561548).

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

8420112 is a wasteful number, since it uses less digits than its factorization.

8420112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8420112 is about 2901.7429245197. The cubic root of 8420112 is about 203.4413782734.

The spelling of 8420112 in words is "eight million, four hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 81 89 108 144 146 162 178 216 219 267 292 324 356 432 438 534 584 648 657 712 801 876 1068 1168 1296 1314 1424 1602 1752 1971 2136 2403 2628 3204 3504 3942 4272 4806 5256 5913 6408 6497 7209 7884 9612 10512 11826 12816 12994 14418 15768 19224 19491 23652 25988 28836 31536 38448 38982 47304 51976 57672 58473 77964 94608 103952 115344 116946 155928 175419 233892 311856 350838 467784 526257 701676 935568 1052514 1403352 2105028 2806704 4210056 8420112