Search a number
-
+
2736047140 = 225373697361
BaseRepresentation
bin1010001100010100…
…1100010000100100
321001200100121002021
42203011030100210
521100412002030
61131254552524
7124542005551
oct24305142044
97050317067
102736047140
111184477792
12644368744
13347ac8008
141bd537a28
1511030597a
hexa314c424

2736047140 has 24 divisors (see below), whose sum is σ = 5900989752. Its totient is φ = 1064839680.

The previous prime is 2736047089. The next prime is 2736047141. The reversal of 2736047140 is 417406372.

It can be written as a sum of positive squares in 4 ways, for example, as 1014295104 + 1721752036 = 31848^2 + 41494^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2736047096 and 2736047105.

It is not an unprimeable number, because it can be changed into a prime (2736047141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1847941 + ... + 1849420.

It is an arithmetic number, because the mean of its divisors is an integer number (245874573).

Almost surely, 22736047140 is an apocalyptic number.

2736047140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2736047140 is an abundant number, since it is smaller than the sum of its proper divisors (3164942612).

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

2736047140 is a wasteful number, since it uses less digits than its factorization.

2736047140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697407 (or 3697405 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 2736047140 is about 52307.2379312844. The cubic root of 2736047140 is about 1398.6461640169.

The spelling of 2736047140 in words is "two billion, seven hundred thirty-six million, forty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 3697361 7394722 14789444 18486805 36973610 73947220 136802357 273604714 547209428 684011785 1368023570 2736047140