Search a number
-
+
1056771090 = 233531126257
BaseRepresentation
bin111110111111010…
…000110000010010
32201122111112102000
4332333100300102
54131013133330
6252510134430
735121256164
oct7677206022
92648445360
101056771090
114a2579841
12255ab1416
1313ac2654b
14a04c8934
1562b97560
hex3efd0c12

1056771090 has 64 divisors (see below), whose sum is σ = 2908984320. Its totient is φ = 272712960.

The previous prime is 1056771061. The next prime is 1056771091. The reversal of 1056771090 is 901776501.

1056771090 is a `hidden beast` number, since 1 + 0 + 567 + 7 + 1 + 0 + 90 = 666.

1056771090 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10567710902 = 2233530273319576200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056771091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54759 + ... + 71498.

It is an arithmetic number, because the mean of its divisors is an integer number (45452880).

Almost surely, 21056771090 is an apocalyptic number.

1056771090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1056771090 is an abundant number, since it is smaller than the sum of its proper divisors (1852213230).

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

1056771090 is a wasteful number, since it uses less digits than its factorization.

1056771090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126304 (or 126298 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 1056771090 is about 32508.0157807271. The cubic root of 1056771090 is about 1018.5764744406.

The spelling of 1056771090 in words is "one billion, fifty-six million, seven hundred seventy-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 126257 252514 378771 631285 757542 1136313 1262570 1893855 2272626 3408939 3787710 3913967 5681565 6817878 7827934 11363130 11741901 17044695 19569835 23483802 34089390 35225703 39139670 58709505 70451406 105677109 117419010 176128515 211354218 352257030 528385545 1056771090