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5516640 = 253351277
BaseRepresentation
bin10101000010110101100000
3101101021102000
4111002311200
52403013030
6314124000
764614333
oct25026540
911337360
105516640
113128808
121a20600
1311b1cac
14a3861a
1573e860
hex542d60

5516640 has 96 divisors (see below), whose sum is σ = 19323360. Its totient is φ = 1469952.

The previous prime is 5516639. The next prime is 5516647. The reversal of 5516640 is 466155.

It is a happy number.

5516640 is a `hidden beast` number, since 5 + 5 + 16 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5516647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3682 + ... + 4958.

It is an arithmetic number, because the mean of its divisors is an integer number (201285).

Almost surely, 25516640 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 5516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9661680).

5516640 is an abundant number, since it is smaller than the sum of its proper divisors (13806720).

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

5516640 is a wasteful number, since it uses less digits than its factorization.

5516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5516640 is about 2348.7528605624. The cubic root of 5516640 is about 176.6952526822.

The spelling of 5516640 in words is "five million, five hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1277 1440 2160 2554 3831 4320 5108 6385 7662 10216 11493 12770 15324 19155 20432 22986 25540 30648 34479 38310 40864 45972 51080 57465 61296 68958 76620 91944 102160 114930 122592 137916 153240 172395 183888 204320 229860 275832 306480 344790 367776 459720 551664 612960 689580 919440 1103328 1379160 1838880 2758320 5516640