Search a number
-
+
8072807640 = 2335587911443
BaseRepresentation
bin1111000010010110…
…10100010011011000
3202211121102010012120
413201023110103120
5113013114321030
63413020141240
7404023506222
oct74113242330
922747363176
108072807640
113472986957
121693697820
139b8655871
1456821b412
15323acd010
hex1e12d44d8

8072807640 has 64 divisors (see below), whose sum is σ = 24224659200. Its totient is φ = 2152194432.

The previous prime is 8072807621. The next prime is 8072807641. The reversal of 8072807640 is 467082708.

It is a junction number, because it is equal to n+sod(n) for n = 8072807592 and 8072807601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8072807641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699759 + ... + 711201.

It is an arithmetic number, because the mean of its divisors is an integer number (378510300).

Almost surely, 28072807640 is an apocalyptic number.

It is an amenable number.

8072807640 is an abundant number, since it is smaller than the sum of its proper divisors (16151851560).

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

8072807640 is a wasteful number, since it uses less digits than its factorization.

8072807640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17336 (or 17332 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 8072807640 is about 89848.8043326120. The cubic root of 8072807640 is about 2006.0489897503.

The spelling of 8072807640 in words is "eight billion, seventy-two million, eight hundred seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 5879 11443 11758 17637 22886 23516 29395 34329 35274 45772 47032 57215 58790 68658 70548 88185 91544 114430 117580 137316 141096 171645 176370 228860 235160 274632 343290 352740 457720 686580 705480 1373160 67273397 134546794 201820191 269093588 336366985 403640382 538187176 672733970 807280764 1009100955 1345467940 1614561528 2018201910 2690935880 4036403820 8072807640