Search a number
-
+
13012560 = 24325113153
BaseRepresentation
bin110001101000…
…111001010000
3220111002212200
4301220321100
511312400220
61142523200
7215414331
oct61507120
926432780
1013012560
117388590
124436500
132907b52
141a2a288
151220890
hexc68e50

13012560 has 240 divisors, whose sum is σ = 50139648. Its totient is φ = 2995200.

The previous prime is 13012553. The next prime is 13012579. The reversal of 13012560 is 6521031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245494 + ... + 245546.

Almost surely, 213012560 is an apocalyptic number.

13012560 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 13012560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25069824).

13012560 is an abundant number, since it is smaller than the sum of its proper divisors (37127088).

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

13012560 is a wasteful number, since it uses less digits than its factorization.

13012560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13012560 is about 3607.2926135815. The cubic root of 13012560 is about 235.2091694329.

Adding to 13012560 its reverse (6521031), we get a palindrome (19533591).

The spelling of 13012560 in words is "thirteen million, twelve thousand, five hundred sixty".