Search a number
-
+
13010240 = 265109373
BaseRepresentation
bin110001101000…
…010101000000
3220110222200202
4301220111000
511312311430
61142504332
7215404505
oct61502500
926428622
1013010240
117386871
1244350a8
132906a89
141a294ac
15121ed45
hexc68540

13010240 has 56 divisors (see below), whose sum is σ = 31348680. Its totient is φ = 5142528.

The previous prime is 13010213. The next prime is 13010293. The reversal of 13010240 is 4201031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2408704 + 10601536 = 1552^2 + 3256^2 .

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, 34694 + ... + 35066.

Almost surely, 213010240 is an apocalyptic number.

13010240 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 13010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15674340).

13010240 is an abundant number, since it is smaller than the sum of its proper divisors (18338440).

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

13010240 is a wasteful number, since it uses less digits than its factorization.

13010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 13010240 is about 3606.9710284392. The cubic root of 13010240 is about 235.1951901773.

Adding to 13010240 its reverse (4201031), we get a palindrome (17211271).

The spelling of 13010240 in words is "thirteen million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 160 218 320 373 436 545 746 872 1090 1492 1744 1865 2180 2984 3488 3730 4360 5968 6976 7460 8720 11936 14920 17440 23872 29840 34880 40657 59680 81314 119360 162628 203285 325256 406570 650512 813140 1301024 1626280 2602048 3252560 6505120 13010240