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13023520 = 255233539
BaseRepresentation
bin110001101011…
…100100100000
3220111122220121
4301223210200
511313223040
61143050024
7215461306
oct61534440
926448817
1013023520
117395844
124440914
13290cb33
141a30276
151223c4a
hexc6b920

13023520 has 48 divisors (see below), whose sum is σ = 32114880. Its totient is φ = 4981504.

The previous prime is 13023509. The next prime is 13023529. The reversal of 13023520 is 2532031.

It is a super-2 number, since 2×130235202 = 339224146380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13023494 and 13023503.

It is not an unprimeable number, because it can be changed into a prime (13023529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1911 + ... + 5449.

It is an arithmetic number, because the mean of its divisors is an integer number (669060).

Almost surely, 213023520 is an apocalyptic number.

13023520 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 13023520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16057440).

13023520 is an abundant number, since it is smaller than the sum of its proper divisors (19091360).

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

13023520 is a wasteful number, since it uses less digits than its factorization.

13023520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 13023520 is about 3608.8114386873. The cubic root of 13023520 is about 235.2751869083.

Adding to 13023520 its reverse (2532031), we get a palindrome (15555551).

The spelling of 13023520 in words is "thirteen million, twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3539 3680 7078 14156 17695 28312 35390 56624 70780 81397 113248 141560 162794 283120 325588 406985 566240 651176 813970 1302352 1627940 2604704 3255880 6511760 13023520