Search a number
-
+
1313401160 = 235181181409
BaseRepresentation
bin100111001001000…
…1110100101001000
310101112101200200102
41032102032211020
510142212314120
6334154424532
744355503621
oct11622164510
93345350612
101313401160
11614420805
12307a32148
1317c14a966
14c660ca48
157a48ad75
hex4e48e948

1313401160 has 32 divisors (see below), whose sum is σ = 2971495800. Its totient is φ = 522455040.

The previous prime is 1313401129. The next prime is 1313401169. The reversal of 1313401160 is 611043131.

It can be written as a sum of positive squares in 4 ways, for example, as 1036711204 + 276689956 = 32198^2 + 16634^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1313401169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83465 + ... + 97944.

Almost surely, 21313401160 is an apocalyptic number.

1313401160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313401160 is an abundant number, since it is smaller than the sum of its proper divisors (1658094640).

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

1313401160 is a wasteful number, since it uses less digits than its factorization.

1313401160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181601 (or 181597 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1313401160 is about 36240.8769209576. The cubic root of 1313401160 is about 1095.1303084360.

Adding to 1313401160 its reverse (611043131), we get a palindrome (1924444291).

The spelling of 1313401160 in words is "one billion, three hundred thirteen million, four hundred one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 181 362 724 905 1448 1810 3620 7240 181409 362818 725636 907045 1451272 1814090 3628180 7256360 32835029 65670058 131340116 164175145 262680232 328350290 656700580 1313401160