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13048224 = 253719417
BaseRepresentation
bin110001110001…
…100110100000
3220112220210120
4301301212200
511320020344
61143400240
7215623320
oct61614640
926486716
1013048224
117402362
124453080
13291b157
141a39280
15122b219
hexc719a0

13048224 has 48 divisors (see below), whose sum is σ = 39146688. Its totient is φ = 3727872.

The previous prime is 13048213. The next prime is 13048237. The reversal of 13048224 is 42284031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×130482242 = 340512299108352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13048194 and 13048203.

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, 9037 + ... + 10380.

It is an arithmetic number, because the mean of its divisors is an integer number (815556).

Almost surely, 213048224 is an apocalyptic number.

13048224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13048224 is an abundant number, since it is smaller than the sum of its proper divisors (26098464).

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

13048224 is a wasteful number, since it uses less digits than its factorization.

13048224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19437 (or 19429 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 13048224 is about 3612.2325506534. The cubic root of 13048224 is about 235.4238555492.

The spelling of 13048224 in words is "thirteen million, forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 19417 38834 58251 77668 116502 135919 155336 233004 271838 310672 407757 466008 543676 621344 815514 932016 1087352 1631028 1864032 2174704 3262056 4349408 6524112 13048224