Search a number
-
+
2776700740 = 2251125321649
BaseRepresentation
bin1010010110000001…
…0001011101000100
321011111212000100011
42211200101131010
521141313410430
61135310200004
7125544365302
oct24540213504
97144760304
102776700740
1111a5414400
12655ab3004
133533601b8
141c4abb272
15113b8622a
hexa5811744

2776700740 has 72 divisors (see below), whose sum is σ = 6530592600. Its totient is φ = 990612480.

The previous prime is 2776700723. The next prime is 2776700747. The reversal of 2776700740 is 470076772.

It can be written as a sum of positive squares in 4 ways, for example, as 365497924 + 2411202816 = 19118^2 + 49104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2776700693 and 2776700702.

It is not an unprimeable number, because it can be changed into a prime (2776700747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117436 + ... + 139084.

It is an arithmetic number, because the mean of its divisors is an integer number (90702675).

Almost surely, 22776700740 is an apocalyptic number.

2776700740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2776700740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265296300).

2776700740 is an abundant number, since it is smaller than the sum of its proper divisors (3753891860).

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

2776700740 is a wasteful number, since it uses less digits than its factorization.

2776700740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21733 (or 21720 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 40.

The square root of 2776700740 is about 52694.4090013352. The cubic root of 2776700740 is about 1405.5394035811.

It can be divided in two parts, 27 and 76700740, that added together give a palindrome (76700767).

The spelling of 2776700740 in words is "two billion, seven hundred seventy-six million, seven hundred thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 121 212 220 242 265 484 530 583 605 1060 1166 1210 2332 2420 2915 5830 6413 11660 12826 21649 25652 32065 43298 64130 86596 108245 128260 216490 238139 432980 476278 952556 1147397 1190695 2294794 2381390 2619529 4589588 4762780 5239058 5736985 10478116 11473970 12621367 13097645 22947940 25242734 26195290 50485468 52390580 63106835 126213670 138835037 252427340 277670074 555340148 694175185 1388350370 2776700740