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13024480 = 255729401
BaseRepresentation
bin110001101011…
…110011100000
3220111201020011
4301223303200
511313240410
61143054304
7215464150
oct61536340
926451204
1013024480
117396537
124441394
1329103c1
141a30760
15122418a
hexc6bce0

13024480 has 96 divisors (see below), whose sum is σ = 36469440. Its totient is φ = 4300800.

The previous prime is 13024469. The next prime is 13024483. The reversal of 13024480 is 8442031.

13024480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13024483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32280 + ... + 32680.

It is an arithmetic number, because the mean of its divisors is an integer number (379890).

It is a vampire number, since it can be written as 32484010 (with its own digits).

Almost surely, 213024480 is an apocalyptic number.

13024480 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 13024480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18234720).

13024480 is an abundant number, since it is smaller than the sum of its proper divisors (23444960).

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

13024480 is a wasteful number, since it uses less digits than its factorization.

13024480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 13024480 is about 3608.9444440168. The cubic root of 13024480 is about 235.2809676965.

The spelling of 13024480 in words is "thirteen million, twenty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 401 406 464 560 580 802 812 928 1015 1120 1160 1604 1624 2005 2030 2320 2807 3208 3248 4010 4060 4640 5614 6416 6496 8020 8120 11228 11629 12832 14035 16040 16240 22456 23258 28070 32080 32480 44912 46516 56140 58145 64160 81403 89824 93032 112280 116290 162806 186064 224560 232580 325612 372128 407015 449120 465160 651224 814030 930320 1302448 1628060 1860640 2604896 3256120 6512240 13024480