Search a number
-
+
8278132140 = 2232545989623
BaseRepresentation
bin1111011010110101…
…00100010110101100
3210100220202200110200
413231122210112230
5113423200212030
63445233033500
7412065651015
oct75532442654
923326680420
108278132140
113568876223
1217303b5890
13a1c055555
145875c800c
15336b39d60
hex1ed6a45ac

8278132140 has 36 divisors (see below), whose sum is σ = 25110334704. Its totient is φ = 2207501856.

The previous prime is 8278132139. The next prime is 8278132153. The reversal of 8278132140 is 412318728.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8278132095 and 8278132104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22994632 + ... + 22994991.

Almost surely, 28278132140 is an apocalyptic number.

It is an amenable number.

8278132140 is an abundant number, since it is smaller than the sum of its proper divisors (16832202564).

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

8278132140 is a wasteful number, since it uses less digits than its factorization.

8278132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45989638 (or 45989633 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8278132140 is about 90984.2411629618. The cubic root of 8278132140 is about 2022.9141466696.

It can be divided in two parts, 82781 and 32140, that added together give a square (114921 = 3392).

The spelling of 8278132140 in words is "eight billion, two hundred seventy-eight million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 45989623 91979246 137968869 183958492 229948115 275937738 413906607 459896230 551875476 689844345 827813214 919792460 1379688690 1655626428 2069533035 2759377380 4139066070 8278132140