Search a number
-
+
7369008090 = 235833837727
BaseRepresentation
bin1101101110011101…
…00010001111011010
3201000120002101201120
412313032202033122
5110042431224330
63215115230110
7350416351413
oct66716421732
921016071646
107369008090
113141681934
121517a48336
139058b5c22
144dc97480a
152d1e09c10
hex1b73a23da

7369008090 has 64 divisors (see below), whose sum is σ = 17947754496. Its totient is φ = 1936073792.

The previous prime is 7369008043. The next prime is 7369008091. The reversal of 7369008090 is 908009637.

It is a happy number.

7369008090 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (7369008091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949807 + ... + 957533.

It is an arithmetic number, because the mean of its divisors is an integer number (280433664).

Almost surely, 27369008090 is an apocalyptic number.

7369008090 is an abundant number, since it is smaller than the sum of its proper divisors (10578746406).

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

7369008090 is a wasteful number, since it uses less digits than its factorization.

7369008090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8203.

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 7369008090 is about 85842.9268489839. The cubic root of 7369008090 is about 1945.9709129241.

The spelling of 7369008090 in words is "seven billion, three hundred sixty-nine million, eight thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 83 166 249 383 415 498 766 830 1149 1245 1915 2298 2490 3830 5745 7727 11490 15454 23181 31789 38635 46362 63578 77270 95367 115905 158945 190734 231810 317890 476835 641341 953670 1282682 1924023 2959441 3206705 3848046 5918882 6413410 8878323 9620115 14797205 17756646 19240230 29594410 44391615 88783230 245633603 491267206 736900809 1228168015 1473801618 2456336030 3684504045 7369008090