[go: up one dir, main page]

Search a number
-
+
13120120 = 23513231097
BaseRepresentation
bin110010000011…
…001001111000
3220200120102101
4302003021320
511324320440
61145113144
7216343036
oct62031170
926616371
1013120120
117451382
1244887b4
132944ab0
141a57556
15124269a
hexc83278

13120120 has 64 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 4629504.

The previous prime is 13120111. The next prime is 13120139. The reversal of 13120120 is 2102131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 13120097 and 13120106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11412 + ... + 12508.

It is an arithmetic number, because the mean of its divisors is an integer number (518805).

Almost surely, 213120120 is an apocalyptic number.

13120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).

13120120 is an abundant number, since it is smaller than the sum of its proper divisors (20083400).

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

13120120 is a wasteful number, since it uses less digits than its factorization.

13120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 13120120 is about 3622.1706199460. The cubic root of 13120120 is about 235.8554606660.

Adding to 13120120 its reverse (2102131), we get a palindrome (15222251).

The spelling of 13120120 in words is "thirteen million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1097 1196 1495 2194 2392 2990 4388 5485 5980 8776 10970 11960 14261 21940 25231 28522 43880 50462 57044 71305 100924 114088 126155 142610 201848 252310 285220 328003 504620 570440 656006 1009240 1312012 1640015 2624024 3280030 6560060 13120120