Search a number
-
+
13006405600 = 255216258007
BaseRepresentation
bin11000001110011110…
…11111111111100000
31020120102211212021221
430013033133333200
5203114114434400
65550340224424
7640211423566
oct140717377740
936512755257
1013006405600
115574860041
12262b99b114
1312c38054b6
148b5555a36
15511cb9c1a
hex3073dffe0

13006405600 has 36 divisors (see below), whose sum is σ = 31751889624. Its totient is φ = 5202561920.

The previous prime is 13006405589. The next prime is 13006405681. The reversal of 13006405600 is 650460031.

It is a super-2 number, since 2×130064056002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8128204 + ... + 8129803.

It is an arithmetic number, because the mean of its divisors is an integer number (881996934).

Almost surely, 213006405600 is an apocalyptic number.

13006405600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13006405600 is an abundant number, since it is smaller than the sum of its proper divisors (18745484024).

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

13006405600 is a wasteful number, since it uses less digits than its factorization.

13006405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16258027 (or 16258014 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 13006405600 its reverse (650460031), we get a palindrome (13656865631).

The spelling of 13006405600 in words is "thirteen billion, six million, four hundred five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 16258007 32516014 65032028 81290035 130064056 162580070 260128112 325160140 406450175 520256224 650320280 812900350 1300640560 1625800700 2601281120 3251601400 6503202800 13006405600