Search a number
-
+
8239420 = 2257229257
BaseRepresentation
bin11111011011100100111100
3120111121100201
4133123210330
54102130140
6452333244
7130014430
oct37334474
916447321
108239420
114718442
122914224
1319263c7
1411469c0
15acb49a
hex7db93c

8239420 has 48 divisors (see below), whose sum is σ = 19938240. Its totient is φ = 2801664.

The previous prime is 8239417. The next prime is 8239421. The reversal of 8239420 is 249328.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8239421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31932 + ... + 32188.

It is an arithmetic number, because the mean of its divisors is an integer number (415380).

Almost surely, 28239420 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 8239420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9969120).

8239420 is an abundant number, since it is smaller than the sum of its proper divisors (11698820).

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

8239420 is a wasteful number, since it uses less digits than its factorization.

8239420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 8239420 is about 2870.4389908166. The cubic root of 8239420 is about 201.9755876782.

The spelling of 8239420 in words is "eight million, two hundred thirty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 229 257 458 514 916 1028 1145 1285 1603 1799 2290 2570 3206 3598 4580 5140 6412 7196 8015 8995 16030 17990 32060 35980 58853 117706 235412 294265 411971 588530 823942 1177060 1647884 2059855 4119710 8239420