Search a number
-
+
12593840 = 245743523
BaseRepresentation
bin110000000010…
…101010110000
3212200211111112
4300002222300
511211000330
61125532452
7212021510
oct60025260
925624445
1012593840
117121a36
124274128
1327bc39c
14195b840
15118b795
hexc02ab0

12593840 has 80 divisors (see below), whose sum is σ = 34307328. Its totient is φ = 4209408.

The previous prime is 12593831. The next prime is 12593873. The reversal of 12593840 is 4839521.

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

It is a junction number, because it is equal to n+sod(n) for n = 12593797 and 12593806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23819 + ... + 24341.

Almost surely, 212593840 is an apocalyptic number.

12593840 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 12593840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17153664).

12593840 is an abundant number, since it is smaller than the sum of its proper divisors (21713488).

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

12593840 is a wasteful number, since it uses less digits than its factorization.

12593840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 12593840 is about 3548.7800720811. The cubic root of 12593840 is about 232.6587500237.

The spelling of 12593840 in words is "twelve million, five hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 523 560 602 688 860 1046 1204 1505 1720 2092 2408 2615 3010 3440 3661 4184 4816 5230 6020 7322 8368 10460 12040 14644 18305 20920 22489 24080 29288 36610 41840 44978 58576 73220 89956 112445 146440 157423 179912 224890 292880 314846 359824 449780 629692 787115 899560 1259384 1574230 1799120 2518768 3148460 6296920 12593840