[go: up one dir, main page]

Search a number
-
+
6833040 = 243571401
BaseRepresentation
bin11010000100001110010000
3110212011011120
4122010032100
53222124130
6402242240
7112036254
oct32041620
913764146
106833040
113947845
122356380
131553226
14c9c264
158ee910
hex684390

6833040 has 80 divisors (see below), whose sum is σ = 21534336. Its totient is φ = 1792000.

The previous prime is 6833039. The next prime is 6833059. The reversal of 6833040 is 403386.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 6833040.

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, 16840 + ... + 17240.

Almost surely, 26833040 is an apocalyptic number.

6833040 is a gapful number since it is divisible by the number (60) 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 6833040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10767168).

6833040 is an abundant number, since it is smaller than the sum of its proper divisors (14701296).

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

6833040 is a wasteful number, since it uses less digits than its factorization.

6833040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6833040 is about 2614.0084162068. The cubic root of 6833040 is about 189.7599924262.

The spelling of 6833040 in words is "six million, eight hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 401 426 568 710 802 852 1065 1136 1203 1420 1604 1704 2005 2130 2406 2840 3208 3408 4010 4260 4812 5680 6015 6416 8020 8520 9624 12030 16040 17040 19248 24060 28471 32080 48120 56942 85413 96240 113884 142355 170826 227768 284710 341652 427065 455536 569420 683304 854130 1138840 1366608 1708260 2277680 3416520 6833040