Search a number
-
+
1368068130 = 2355111331127
BaseRepresentation
bin101000110001011…
…0001000000100010
310112100021001200000
41101202301000202
510300211140010
6343430240430
745621246552
oct12142610042
93470231600
101368068130
11642269920
123221b6116
1318a57b390
14cd99d162
15801887c0
hex518b1022

1368068130 has 384 divisors, whose sum is σ = 4508614656. Its totient is φ = 293932800.

The previous prime is 1368068111. The next prime is 1368068159. The reversal of 1368068130 is 318608631.

It is a super-2 number, since 2×13680681302 = 3743220816643393800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10772127 + ... + 10772253.

It is an arithmetic number, because the mean of its divisors is an integer number (11741184).

Almost surely, 21368068130 is an apocalyptic number.

1368068130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1368068130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254307328).

1368068130 is an abundant number, since it is smaller than the sum of its proper divisors (3140546526).

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

1368068130 is a wasteful number, since it uses less digits than its factorization.

1368068130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1368068130 is about 36987.4050184654. The cubic root of 1368068130 is about 1110.1182489072.

It can be divided in two parts, 13680 and 68130, that added together give a triangular number (81810 = T404).

The spelling of 1368068130 in words is "one billion, three hundred sixty-eight million, sixty-eight thousand, one hundred thirty".