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13053240 = 23325101359
BaseRepresentation
bin110001110010…
…110100111000
3220120011200100
4301302310320
511320200430
61143435400
7215644044
oct61626470
926504610
1013053240
117406102
124455b60
132920515
141a3b024
15122c960
hexc72d38

13053240 has 96 divisors (see below), whose sum is σ = 42962400. Its totient is φ = 3436800.

The previous prime is 13053239. The next prime is 13053253. The reversal of 13053240 is 4235031.

13053240 is a `hidden beast` number, since 130 + 532 + 4 + 0 = 666.

13053240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 36181 + ... + 36539.

It is an arithmetic number, because the mean of its divisors is an integer number (447525).

Almost surely, 213053240 is an apocalyptic number.

13053240 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 13053240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21481200).

13053240 is an abundant number, since it is smaller than the sum of its proper divisors (29909160).

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

13053240 is a wasteful number, since it uses less digits than its factorization.

13053240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13053240 is about 3612.9267913978. The cubic root of 13053240 is about 235.4540189077.

Adding to 13053240 its reverse (4235031), we get a palindrome (17288271).

The spelling of 13053240 in words is "thirteen million, fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 359 360 404 505 606 718 808 909 1010 1077 1212 1436 1515 1795 1818 2020 2154 2424 2872 3030 3231 3590 3636 4040 4308 4545 5385 6060 6462 7180 7272 8616 9090 10770 12120 12924 14360 16155 18180 21540 25848 32310 36259 36360 43080 64620 72518 108777 129240 145036 181295 217554 290072 326331 362590 435108 543885 652662 725180 870216 1087770 1305324 1450360 1631655 2175540 2610648 3263310 4351080 6526620 13053240