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5714640 = 243257937
BaseRepresentation
bin10101110011001011010000
3101202100000100
4111303023100
52430332030
6322252400
766400521
oct25631320
911670010
105714640
113253548
121ab7100
131251159
14a8a848
1577d360
hex5732d0

5714640 has 60 divisors (see below), whose sum is σ = 19194084. Its totient is φ = 1523712.

The previous prime is 5714627. The next prime is 5714641. The reversal of 5714640 is 464175.

5714640 is a `hidden beast` number, since 5 + 7 + 14 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 1354896 = 2088^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×57146402 = 65314220659200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5714641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3249 + ... + 4688.

Almost surely, 25714640 is an apocalyptic number.

It is an amenable number.

5714640 is an abundant number, since it is smaller than the sum of its proper divisors (13479444).

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

5714640 is a wasteful number, since it uses less digits than its factorization.

5714640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7956 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5714640 is about 2390.5313216940. The cubic root of 5714640 is about 178.7844017442.

The spelling of 5714640 in words is "five million, seven hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 7937 15874 23811 31748 39685 47622 63496 71433 79370 95244 119055 126992 142866 158740 190488 238110 285732 317480 357165 380976 476220 571464 634960 714330 952440 1142928 1428660 1904880 2857320 5714640