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1468134740 = 225234131357
BaseRepresentation
bin101011110000001…
…1111010101010100
310210022112222020202
41113200133111110
511001320302430
6401403120032
751244640132
oct12740372524
93708488222
101468134740
116937a63a6
1234b813018
131a52162a7
14dcdaa752
1588d52d45
hex5781f554

1468134740 has 24 divisors (see below), whose sum is σ = 3084498312. Its totient is φ = 586984320.

The previous prime is 1468134719. The next prime is 1468134751. The reversal of 1468134740 is 474318641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 374112964 + 1094021776 = 19342^2 + 33076^2 .

It is a super-3 number, since 3×14681347403 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1468134694 and 1468134703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31142 + ... + 62498.

It is an arithmetic number, because the mean of its divisors is an integer number (128520763).

Almost surely, 21468134740 is an apocalyptic number.

1468134740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468134740 is an abundant number, since it is smaller than the sum of its proper divisors (1616363572).

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

1468134740 is a wasteful number, since it uses less digits than its factorization.

1468134740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33707 (or 33705 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 1468134740 is about 38316.2464236778. The cubic root of 1468134740 is about 1136.5502411500.

The spelling of 1468134740 in words is "one billion, four hundred sixty-eight million, one hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 2341 4682 9364 11705 23410 31357 46820 62714 125428 156785 313570 627140 73406737 146813474 293626948 367033685 734067370 1468134740