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13520496 = 2431129883
BaseRepresentation
bin110011100100…
…111001110000
3221102220122010
4303210321300
511430123441
61201442520
7222631233
oct63447160
927386563
1013520496
1176a5170
124640440
132a550c2
141b1d41a
1512c1116
hexce4e70

13520496 has 80 divisors (see below), whose sum is σ = 39461760. Its totient is φ = 3951360.

The previous prime is 13520483. The next prime is 13520497. The reversal of 13520496 is 69402531.

13520496 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 (13520497) 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, 14871 + ... + 15753.

It is an arithmetic number, because the mean of its divisors is an integer number (493272).

Almost surely, 213520496 is an apocalyptic number.

13520496 is a gapful number since it is divisible by the number (16) 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 13520496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730880).

13520496 is an abundant number, since it is smaller than the sum of its proper divisors (25941264).

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

13520496 is a wasteful number, since it uses less digits than its factorization.

13520496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 13520496 is about 3677.0227086598. The cubic root of 13520496 is about 238.2305982416.

The spelling of 13520496 in words is "thirteen million, five hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 883 957 1276 1392 1766 1914 2552 2649 3532 3828 5104 5298 7064 7656 9713 10596 14128 15312 19426 21192 25607 29139 38852 42384 51214 58278 76821 77704 102428 116556 153642 155408 204856 233112 281677 307284 409712 466224 563354 614568 845031 1126708 1229136 1690062 2253416 3380124 4506832 6760248 13520496