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5894640 = 243352729
BaseRepresentation
bin10110011111000111110000
3102002110221000
4112133013300
53002112030
6330202000
7101050353
oct26370760
912073830
105894640
113366804
121b83300
1312b506b
14ad629a
157b6860
hex59f1f0

5894640 has 80 divisors (see below), whose sum is σ = 20311200. Its totient is φ = 1571328.

The previous prime is 5894591. The next prime is 5894641. The reversal of 5894640 is 464985.

5894640 is a `hidden beast` number, since 5 + 8 + 9 + 4 + 640 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 5894595 and 5894604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5894641) 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, 796 + ... + 3524.

It is an arithmetic number, because the mean of its divisors is an integer number (253890).

Almost surely, 25894640 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 5894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155600).

5894640 is an abundant number, since it is smaller than the sum of its proper divisors (14416560).

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

5894640 is a wasteful number, since it uses less digits than its factorization.

5894640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5894640 is about 2427.8879710563. The cubic root of 5894640 is about 180.6421508441.

The spelling of 5894640 in words is "five million, eight hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2729 5458 8187 10916 13645 16374 21832 24561 27290 32748 40935 43664 49122 54580 65496 73683 81870 98244 109160 122805 130992 147366 163740 196488 218320 245610 294732 327480 368415 392976 491220 589464 654960 736830 982440 1178928 1473660 1964880 2947320 5894640