Search a number
-
+
2120202 = 23377179
BaseRepresentation
bin1000000101101000001010
310222201101000
420011220022
51020321302
6113235430
724010230
oct10055012
93881330
102120202
111218a37
12862b76
13593076
143d2950
152bd31c
hex205a0a

2120202 has 64 divisors (see below), whose sum is σ = 5529600. Its totient is φ = 589680.

The previous prime is 2120171. The next prime is 2120203. The reversal of 2120202 is 2020212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2120203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26799 + ... + 26877.

It is an arithmetic number, because the mean of its divisors is an integer number (86400).

22120202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764800).

2120202 is an abundant number, since it is smaller than the sum of its proper divisors (3409398).

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

2120202 is a wasteful number, since it uses less digits than its factorization.

2120202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2120202 is about 1456.0913432886. The cubic root of 2120202 is about 128.4672457611.

Adding to 2120202 its reverse (2020212), we get a palindrome (4140414).

The spelling of 2120202 in words is "two million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 71 79 126 142 158 189 213 237 378 426 474 497 553 639 711 994 1106 1278 1422 1491 1659 1917 2133 2982 3318 3834 4266 4473 4977 5609 8946 9954 11218 13419 14931 16827 26838 29862 33654 39263 50481 78526 100962 117789 151443 235578 302886 353367 706734 1060101 2120202