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13048520 = 2351731619
BaseRepresentation
bin110001110001…
…101011001000
3220112221012112
4301301223020
511320023040
61143401452
7215624222
oct61615310
926487175
1013048520
117402601
124453288
13291b324
141a39412
15122b365
hexc71ac8

13048520 has 64 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 4746240.

The previous prime is 13048507. The next prime is 13048549. The reversal of 13048520 is 2584031.

13048520 = T121 + T122 + ... + T430.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20771 + ... + 21389.

It is an arithmetic number, because the mean of its divisors is an integer number (502200).

Almost surely, 213048520 is an apocalyptic number.

13048520 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 13048520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

13048520 is an abundant number, since it is smaller than the sum of its proper divisors (19092280).

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

13048520 is a wasteful number, since it uses less digits than its factorization.

13048520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 13048520 is about 3612.2735223125. The cubic root of 13048520 is about 235.4256357387.

The spelling of 13048520 in words is "thirteen million, forty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 619 620 680 1054 1238 1240 2108 2476 2635 3095 4216 4952 5270 6190 10523 10540 12380 19189 21046 21080 24760 38378 42092 52615 76756 84184 95945 105230 153512 191890 210460 326213 383780 420920 652426 767560 1304852 1631065 2609704 3262130 6524260 13048520