[go: up one dir, main page]

Search a number
-
+
6882740 = 2253771131
BaseRepresentation
bin11010010000010110110100
3110221200100022
4122100112310
53230221430
6403304312
7112334204
oct32202664
913850308
106882740
113981117
12237b098
13156ca37
14cb2404
1590e4e5
hex6905b4

6882740 has 48 divisors (see below), whose sum is σ = 15168384. Its totient is φ = 2620800.

The previous prime is 6882697. The next prime is 6882761. The reversal of 6882740 is 472886.

6882740 = T50 + T51 + ... + T345.

It is a self number, because there is not a number n which added to its sum of digits gives 6882740.

It is a congruent number.

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, 52475 + ... + 52605.

It is an arithmetic number, because the mean of its divisors is an integer number (316008).

Almost surely, 26882740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6882740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584192).

6882740 is an abundant number, since it is smaller than the sum of its proper divisors (8285644).

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

6882740 is a wasteful number, since it uses less digits than its factorization.

6882740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 6882740 is about 2623.4976653315. The cubic root of 6882740 is about 190.2189534935.

The spelling of 6882740 in words is "six million, eight hundred eighty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 37 71 74 131 142 148 185 262 284 355 370 524 655 710 740 1310 1420 2620 2627 4847 5254 9301 9694 10508 13135 18602 19388 24235 26270 37204 46505 48470 52540 93010 96940 186020 344137 688274 1376548 1720685 3441370 6882740