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13053852 = 2233731557
BaseRepresentation
bin110001110010…
…111110011100
3220120012112000
4301302332130
511320210402
61143442300
7215645610
oct61627634
926505460
1013053852
117406609
124456390
132920896
141a3b340
15122cc1c
hexc72f9c

13053852 has 96 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 3602880.

The previous prime is 13053829. The next prime is 13053853. The reversal of 13053852 is 25835031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13053853) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23158 + ... + 23714.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 213053852 is an apocalyptic number.

13053852 is a gapful number since it is divisible by the number (12) 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 13053852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

13053852 is an abundant number, since it is smaller than the sum of its proper divisors (26943588).

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

13053852 is a wasteful number, since it uses less digits than its factorization.

13053852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 13053852 is about 3613.0114862812. The cubic root of 13053852 is about 235.4576985971.

Adding to 13053852 its reverse (25835031), we get a palindrome (38888883).

The spelling of 13053852 in words is "thirteen million, fifty-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 557 558 651 756 837 868 1114 1116 1302 1671 1674 1953 2228 2604 3342 3348 3899 3906 5013 5859 6684 7798 7812 10026 11697 11718 15039 15596 17267 20052 23394 23436 30078 34534 35091 46788 51801 60156 69068 70182 103602 105273 120869 140364 155403 207204 210546 241738 310806 362607 421092 466209 483476 621612 725214 932418 1087821 1450428 1864836 2175642 3263463 4351284 6526926 13053852