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9060905040 = 2435113432161
BaseRepresentation
bin10000111000001001…
…00111000001010000
3212101110200200000120
420130010213001100
5122024042430130
64055034350240
7440352264525
oct103404470120
925343620016
109060905040
11392a710080
12190a58b380
13b15286195
1461d54b14c
1538070c910
hex21c127050

9060905040 has 80 divisors (see below), whose sum is σ = 30642342336. Its totient is φ = 2196582400.

The previous prime is 9060905033. The next prime is 9060905083. The reversal of 9060905040 is 405090609.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 9060904992 and 9060905010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1713441 + ... + 1718720.

Almost surely, 29060905040 is an apocalyptic number.

It is an amenable number.

9060905040 is an abundant number, since it is smaller than the sum of its proper divisors (21581437296).

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

9060905040 is a wasteful number, since it uses less digits than its factorization.

9060905040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432188 (or 3432182 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 9060905040 is about 95188.7863143553. The cubic root of 9060905040 is about 2084.7654113286.

Adding to 9060905040 its reverse (405090609), we get a palindrome (9465995649).

The spelling of 9060905040 in words is "nine billion, sixty million, nine hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3432161 6864322 10296483 13728644 17160805 20592966 27457288 34321610 37753771 41185932 51482415 54914576 68643220 75507542 82371864 102964830 113261313 137286440 151015084 164743728 188768855 205929660 226522626 274572880 302030168 377537710 411859320 453045252 566306565 604060336 755075420 823718640 906090504 1132613130 1510150840 1812181008 2265226260 3020301680 4530452520 9060905040