Search a number
-
+
873102120 = 2335112157383
BaseRepresentation
bin110100000010100…
…111101100101000
32020211220011221120
4310002213230220
53242003231440
6222345335240
730431150142
oct6402475450
92224804846
10873102120
11408930600
12204497520
1310bb69697
1483d57c92
15519b6dd0
hex340a7b28

873102120 has 192 divisors, whose sum is σ = 2904975360. Its totient is φ = 209763840.

The previous prime is 873102107. The next prime is 873102121. The reversal of 873102120 is 21201378.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (873102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2279449 + ... + 2279831.

It is an arithmetic number, because the mean of its divisors is an integer number (15130080).

Almost surely, 2873102120 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 873102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452487680).

873102120 is an abundant number, since it is smaller than the sum of its proper divisors (2031873240).

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

873102120 is a wasteful number, since it uses less digits than its factorization.

873102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 873102120 is about 29548.3014740272. The cubic root of 873102120 is about 955.7735643635.

Adding to 873102120 its reverse (21201378), we get a palindrome (894303498).

The spelling of 873102120 in words is "eight hundred seventy-three million, one hundred two thousand, one hundred twenty".