Search a number
-
+
2027790961 = 749192
BaseRepresentation
bin111100011011101…
…1010001001110001
312020022122110020221
41320313122021301
513123103302321
6533114333041
7101151640000
oct17067321161
95208573227
102027790961
119506a93a9
1248712a181
13264157a11
14153450c37
15bd051e41
hex78dda271

2027790961 has 15 divisors (see below), whose sum is σ = 2368192281. Its totient is φ = 1736215236.

The previous prime is 2027790953. The next prime is 2027791043. The reversal of 2027790961 is 1690977202.

The square root of 2027790961 is 45031.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 2027790961 - 23 = 2027790953 is a prime.

It is a super-2 number, since 2×20277909612 = 8223872363026607042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2027790901) 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 14 ways as a sum of consecutive naturals, for example, 2206060 + ... + 2206978.

Almost surely, 22027790961 is an apocalyptic number.

2027790961 is the 45031-st square number.

2027790961 is the 22516-th centered octagonal number.

It is an amenable number.

2027790961 is a deficient number, since it is larger than the sum of its proper divisors (340401320).

2027790961 is an frugal number, since it uses more digits than its factorization.

2027790961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 43.

The cubic root of 2027790961 is about 1265.7299626537.

The spelling of 2027790961 in words is "two billion, twenty-seven million, seven hundred ninety thousand, nine hundred sixty-one".

Divisors: 1 7 49 343 919 2401 6433 45031 315217 844561 2206519 5911927 41383489 289684423 2027790961