Search a number
-
+
8141202 = 2331071409
BaseRepresentation
bin11111000011100110010010
3120022121122000
4133003212102
54041004302
6450254430
7126125166
oct37034622
916277560
108141202
114660673
122887416
1318c07a4
14111cca6
15aac31c
hex7c3992

8141202 has 32 divisors (see below), whose sum is σ = 18273600. Its totient is φ = 2686464.

The previous prime is 8141197. The next prime is 8141209. The reversal of 8141202 is 2021418.

8141202 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (8141209) 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, 5074 + ... + 6482.

It is an arithmetic number, because the mean of its divisors is an integer number (571050).

Almost surely, 28141202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8141202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9136800).

8141202 is an abundant number, since it is smaller than the sum of its proper divisors (10132398).

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

8141202 is a wasteful number, since it uses less digits than its factorization.

8141202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1521 counting only the distinct ones).

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

The square root of 8141202 is about 2853.2791661525. The cubic root of 8141202 is about 201.1698275104.

It can be divided in two parts, 814 and 1202, that added together give a triangular number (2016 = T63).

The spelling of 8141202 in words is "eight million, one hundred forty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1409 1926 2818 2889 4227 5778 8454 12681 25362 38043 76086 150763 301526 452289 904578 1356867 2713734 4070601 8141202