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13805520 = 2435234161
BaseRepresentation
bin110100101010…
…011111010000
3221222101121120
4310222133100
512013234040
61211522240
7225226221
oct64523720
927871546
1013805520
11787a323
124759380
132b24a61
141b95248
15132a7d0
hexd2a7d0

13805520 has 160 divisors (see below), whose sum is σ = 46497024. Its totient is φ = 3379200.

The previous prime is 13805507. The next prime is 13805521. The reversal of 13805520 is 2550831.

13805520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13805521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226290 + ... + 226350.

Almost surely, 213805520 is an apocalyptic number.

13805520 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 13805520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23248512).

13805520 is an abundant number, since it is smaller than the sum of its proper divisors (32691504).

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

13805520 is a wasteful number, since it uses less digits than its factorization.

13805520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 13805520 is about 3715.5780169443. The cubic root of 13805520 is about 239.8930078655.

It can be divided in two parts, 138055 and 20, that added together give a triangular number (138075 = T525).

The spelling of 13805520 in words is "thirteen million, eight hundred five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 41 46 48 60 61 69 80 82 92 115 120 122 123 138 164 183 184 205 230 240 244 246 276 305 328 345 366 368 410 460 488 492 552 610 615 656 690 732 820 915 920 943 976 984 1104 1220 1230 1380 1403 1464 1640 1830 1840 1886 1968 2440 2460 2501 2760 2806 2829 2928 3280 3660 3772 4209 4715 4880 4920 5002 5520 5612 5658 7015 7320 7503 7544 8418 9430 9840 10004 11224 11316 12505 14030 14145 14640 15006 15088 16836 18860 20008 21045 22448 22632 25010 28060 28290 30012 33672 37515 37720 40016 42090 45264 50020 56120 56580 57523 60024 67344 75030 75440 84180 100040 112240 113160 115046 120048 150060 168360 172569 200080 226320 230092 287615 300120 336720 345138 460184 575230 600240 690276 862845 920368 1150460 1380552 1725690 2300920 2761104 3451380 4601840 6902760 13805520