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5966840 = 2351171191
BaseRepresentation
bin10110110000101111111000
3102020010222002
4112300233320
53011414330
6331520132
7101501015
oct26605770
912203862
105966840
113405a80
121bb9048
13130bb99
14b1470c
157cce45
hex5b0bf8

5966840 has 64 divisors (see below), whose sum is σ = 14929920. Its totient is φ = 2128000.

The previous prime is 5966839. The next prime is 5966843. The reversal of 5966840 is 486695.

It is a junction number, because it is equal to n+sod(n) for n = 5966794 and 5966803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5966843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31145 + ... + 31335.

It is an arithmetic number, because the mean of its divisors is an integer number (233280).

Almost surely, 25966840 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 5966840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464960).

5966840 is an abundant number, since it is smaller than the sum of its proper divisors (8963080).

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

5966840 is a wasteful number, since it uses less digits than its factorization.

5966840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 5966840 is about 2442.7116080291. The cubic root of 5966840 is about 181.3766866978.

The spelling of 5966840 in words is "five million, nine hundred sixty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 191 220 284 355 382 440 568 710 764 781 955 1420 1528 1562 1910 2101 2840 3124 3820 3905 4202 6248 7640 7810 8404 10505 13561 15620 16808 21010 27122 31240 42020 54244 67805 84040 108488 135610 149171 271220 298342 542440 596684 745855 1193368 1491710 2983420 5966840