Search a number
-
+
12713920 = 26567593
BaseRepresentation
bin110000011111…
…111111000000
3212220221012221
4300133333000
511223321140
61132300424
7213031552
oct60377700
925827187
1012713920
1171a417a
124311714
132831c3b
14198d4d2
1511b214a
hexc1ffc0

12713920 has 56 divisors (see below), whose sum is σ = 30778704. Its totient is φ = 5001216.

The previous prime is 12713893. The next prime is 12713927. The reversal of 12713920 is 2931721.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12713927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21144 + ... + 21736.

Almost surely, 212713920 is an apocalyptic number.

12713920 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 12713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15389352).

12713920 is an abundant number, since it is smaller than the sum of its proper divisors (18064784).

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

12713920 is an equidigital number, since it uses as much as digits as its factorization.

12713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 12713920 is about 3565.6584244709. The cubic root of 12713920 is about 233.3958653265.

The spelling of 12713920 in words is "twelve million, seven hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 536 593 670 1072 1186 1340 2144 2372 2680 2965 4288 4744 5360 5930 9488 10720 11860 18976 21440 23720 37952 39731 47440 79462 94880 158924 189760 198655 317848 397310 635696 794620 1271392 1589240 2542784 3178480 6356960 12713920