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9040900080 = 243565957163
BaseRepresentation
bin10000110101110000…
…10010111111110000
3212100002001022101010
420122320102333300
5122003432300310
64053041510520
7440020245162
oct103270227760
925302038333
109040900080
11391a397053
121903942440
13b110a0724
1461aa20932
1537daaa320
hex21ae12ff0

9040900080 has 80 divisors (see below), whose sum is σ = 28069810560. Its totient is φ = 2407206144.

The previous prime is 9040900079. The next prime is 9040900103. The reversal of 9040900080 is 800090409.

9040900080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 129579 + ... + 186741.

It is an arithmetic number, because the mean of its divisors is an integer number (350872632).

Almost surely, 29040900080 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 9040900080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034905280).

9040900080 is an abundant number, since it is smaller than the sum of its proper divisors (19028910480).

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

9040900080 is a wasteful number, since it uses less digits than its factorization.

9040900080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57838 (or 57832 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9040900080 is about 95083.6478054981. The cubic root of 9040900080 is about 2083.2300099086.

Adding to 9040900080 its reverse (800090409), we get a palindrome (9840990489).

The spelling of 9040900080 in words is "nine billion, forty million, nine hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 659 1318 1977 2636 3295 3954 5272 6590 7908 9885 10544 13180 15816 19770 26360 31632 39540 52720 57163 79080 114326 158160 171489 228652 285815 342978 457304 571630 685956 857445 914608 1143260 1371912 1714890 2286520 2743824 3429780 4573040 6859560 13719120 37670417 75340834 113011251 150681668 188352085 226022502 301363336 376704170 452045004 565056255 602726672 753408340 904090008 1130112510 1506816680 1808180016 2260225020 3013633360 4520450040 9040900080