Search a number
-
+
8003065040 = 245293449597
BaseRepresentation
bin1110111010000010…
…10001010011010000
3202122202011211100022
413131001101103100
5112342241040130
63402045243012
7402215634065
oct73501212320
922582154308
108003065040
113437581243
121674263468
139a7077259
1455cc64c6c
1531c9037e5
hex1dd0514d0

8003065040 has 40 divisors (see below), whose sum is σ = 19248756840. Its totient is φ = 3090838016.

The previous prime is 8003065033. The next prime is 8003065051. The reversal of 8003065040 is 405603008.

It can be written as a sum of positive squares in 4 ways, for example, as 564347536 + 7438717504 = 23756^2 + 86248^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1722479 + ... + 1727118.

It is an arithmetic number, because the mean of its divisors is an integer number (481218921).

Almost surely, 28003065040 is an apocalyptic number.

8003065040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8003065040 is an abundant number, since it is smaller than the sum of its proper divisors (11245691800).

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

8003065040 is a wasteful number, since it uses less digits than its factorization.

8003065040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449639 (or 3449633 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 8003065040 is about 89459.8515536439. The cubic root of 8003065040 is about 2000.2553873873.

Adding to 8003065040 its reverse (405603008), we get a palindrome (8408668048).

The spelling of 8003065040 in words is "eight billion, three million, sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 3449597 6899194 13798388 17247985 27596776 34495970 55193552 68991940 100038313 137983880 200076626 275967760 400153252 500191565 800306504 1000383130 1600613008 2000766260 4001532520 8003065040