Search a number
-
+
7330738900 = 2252294358787
BaseRepresentation
bin1101101001111001…
…00011001011010100
3200220220002010021011
412310330203023110
5110003132121100
63211231102004
7346443152422
oct66474431324
920826063234
107330738900
113122013701
121507071904
138ca9a7134
144d7852112
152cd89abba
hex1b4f232d4

7330738900 has 72 divisors (see below), whose sum is σ = 16839234720. Its totient is φ = 2765293440.

The previous prime is 7330738847. The next prime is 7330738907. The reversal of 7330738900 is 98370337.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7330738907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95307 + ... + 154093.

It is an arithmetic number, because the mean of its divisors is an integer number (233878260).

Almost surely, 27330738900 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 7330738900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8419617360).

7330738900 is an abundant number, since it is smaller than the sum of its proper divisors (9508495820).

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

7330738900 is a wasteful number, since it uses less digits than its factorization.

7330738900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58873 (or 58866 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 7330738900 is about 85619.7342906412. The cubic root of 7330738900 is about 1942.5964189958.

The spelling of 7330738900 in words is "seven billion, three hundred thirty million, seven hundred thirty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 43 50 58 86 100 116 145 172 215 290 430 580 725 860 1075 1247 1450 2150 2494 2900 4300 4988 6235 12470 24940 31175 58787 62350 117574 124700 235148 293935 587870 1175740 1469675 1704823 2527841 2939350 3409646 5055682 5878700 6819292 8524115 10111364 12639205 17048230 25278410 34096460 42620575 50556820 63196025 73307389 85241150 126392050 146614778 170482300 252784100 293229556 366536945 733073890 1466147780 1832684725 3665369450 7330738900