Search a number
-
+
12805520 = 2457131759
BaseRepresentation
bin110000110110…
…010110010000
3220002120212112
4300312112100
511234234040
61134244452
7213562610
oct60662620
926076775
1012805520
117256a82
124356728
132864840
1419b4a40
1511ce365
hexc36590

12805520 has 80 divisors (see below), whose sum is σ = 36664320. Its totient is φ = 4050432.

The previous prime is 12805519. The next prime is 12805523. The reversal of 12805520 is 2550821.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12805523) 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, 6401 + ... + 8159.

It is an arithmetic number, because the mean of its divisors is an integer number (458304).

Almost surely, 212805520 is an apocalyptic number.

12805520 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 12805520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332160).

12805520 is an abundant number, since it is smaller than the sum of its proper divisors (23858800).

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

12805520 is a wasteful number, since it uses less digits than its factorization.

12805520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 12805520 is about 3578.4801242986. The cubic root of 12805520 is about 233.9550404284.

The spelling of 12805520 in words is "twelve million, eight hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1759 1820 3518 3640 7036 7280 8795 12313 14072 17590 22867 24626 28144 35180 45734 49252 61565 70360 91468 98504 114335 123130 140720 160069 182936 197008 228670 246260 320138 365872 457340 492520 640276 800345 914680 985040 1280552 1600690 1829360 2561104 3201380 6402760 12805520