Search a number
-
+
8142320 = 245175987
BaseRepresentation
bin11111000011110111110000
3120022200011102
4133003313300
54041023240
6450303532
7126131354
oct37036760
916280142
108142320
11466149a
122887ba8
1318c1154
14111d464
15aac815
hex7c3df0

8142320 has 40 divisors (see below), whose sum is σ = 20047824. Its totient is φ = 3064832.

The previous prime is 8142319. The next prime is 8142349. The reversal of 8142320 is 232418.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 8142292 and 8142301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1634 + ... + 4353.

Almost surely, 28142320 is an apocalyptic number.

8142320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8142320 is an abundant number, since it is smaller than the sum of its proper divisors (11905504).

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

8142320 is a wasteful number, since it uses less digits than its factorization.

8142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6017 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 8142320 is about 2853.4750743611. The cubic root of 8142320 is about 201.1790357155.

Adding to 8142320 its reverse (232418), we get a palindrome (8374738).

The spelling of 8142320 in words is "eight million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 5987 11974 23948 29935 47896 59870 95792 101779 119740 203558 239480 407116 478960 508895 814232 1017790 1628464 2035580 4071160 8142320