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6541940 = 2251771271
BaseRepresentation
bin11000111101001001110100
3110022100212002
4120331021310
53133320230
6352114432
7106414466
oct30751164
913270762
106541940
113769069
122235a18
131480892
14c24136
15893545
hex63d274

6541940 has 48 divisors (see below), whose sum is σ = 14805504. Its totient is φ = 2419200.

The previous prime is 6541939. The next prime is 6541973. The reversal of 6541940 is 491456.

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, 24005 + ... + 24275.

It is an arithmetic number, because the mean of its divisors is an integer number (308448).

Almost surely, 26541940 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 6541940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402752).

6541940 is an abundant number, since it is smaller than the sum of its proper divisors (8263564).

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

6541940 is a wasteful number, since it uses less digits than its factorization.

6541940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 6541940 is about 2557.7216423997. The cubic root of 6541940 is about 187.0260861356.

The spelling of 6541940 in words is "six million, five hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 271 284 340 355 542 710 1084 1207 1355 1420 2414 2710 4607 4828 5420 6035 9214 12070 18428 19241 23035 24140 38482 46070 76964 92140 96205 192410 327097 384820 654194 1308388 1635485 3270970 6541940