Search a number
-
+
13328712 = 233467307
BaseRepresentation
bin110010110110…
…000101001000
3221002011120000
4302312011020
511403004322
61153403000
7221202135
oct62660510
927064500
1013328712
117584071
124569460
1329b8a17
141aad58c
1512843ac
hexcb6148

13328712 has 80 divisors (see below), whose sum is σ = 38013360. Its totient is φ = 4362336.

The previous prime is 13328701. The next prime is 13328713. The reversal of 13328712 is 21782331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13328713) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43263 + ... + 43569.

It is an arithmetic number, because the mean of its divisors is an integer number (475167).

Almost surely, 213328712 is an apocalyptic number.

13328712 is a gapful number since it is divisible by the number (12) 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 13328712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19006680).

13328712 is an abundant number, since it is smaller than the sum of its proper divisors (24684648).

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

13328712 is a wasteful number, since it uses less digits than its factorization.

13328712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 379 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13328712 is about 3650.8508597312. The cubic root of 13328712 is about 237.0988211509.

The spelling of 13328712 in words is "thirteen million, three hundred twenty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 268 307 324 402 536 603 614 648 804 921 1206 1228 1608 1809 1842 2412 2456 2763 3618 3684 4824 5427 5526 7236 7368 8289 10854 11052 14472 16578 20569 21708 22104 24867 33156 41138 43416 49734 61707 66312 82276 99468 123414 164552 185121 198936 246828 370242 493656 555363 740484 1110726 1480968 1666089 2221452 3332178 4442904 6664356 13328712