Search a number
-
+
2772316540 = 225719802261
BaseRepresentation
bin1010010100111110…
…0011000101111100
321011012121021100101
42211033203011330
521134203112130
61135032210444
7125462205340
oct24517430574
97135537311
102772316540
1111a299a4a4
12654539a24
133524867b6
141c4299620
151135bc1ca
hexa53e317c

2772316540 has 24 divisors (see below), whose sum is σ = 6653560032. Its totient is φ = 950508480.

The previous prime is 2772316537. The next prime is 2772316541. The reversal of 2772316540 is 456132772.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2772316540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772316541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9900991 + ... + 9901270.

It is an arithmetic number, because the mean of its divisors is an integer number (277231668).

Almost surely, 22772316540 is an apocalyptic number.

2772316540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2772316540 is an abundant number, since it is smaller than the sum of its proper divisors (3881243492).

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

2772316540 is a wasteful number, since it uses less digits than its factorization.

2772316540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19802277 (or 19802275 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 2772316540 is about 52652.7923286125. The cubic root of 2772316540 is about 1404.7992671775.

The spelling of 2772316540 in words is "two billion, seven hundred seventy-two million, three hundred sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 19802261 39604522 79209044 99011305 138615827 198022610 277231654 396045220 554463308 693079135 1386158270 2772316540