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5563680 = 253567173
BaseRepresentation
bin10101001110010100100000
3101110122221020
4111032110200
52411014210
6315125440
765201433
oct25162440
911418836
105563680
113160091
121a43880
1311ca525
14a4b81a
1574d770
hex54e520

5563680 has 96 divisors (see below), whose sum is σ = 17889984. Its totient is φ = 1453056.

The previous prime is 5563673. The next prime is 5563697. The reversal of 5563680 is 863655.

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

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, 32074 + ... + 32246.

It is an arithmetic number, because the mean of its divisors is an integer number (186354).

Almost surely, 25563680 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 5563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8944992).

5563680 is an abundant number, since it is smaller than the sum of its proper divisors (12326304).

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

5563680 is a wasteful number, since it uses less digits than its factorization.

5563680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 5563680 is about 2358.7454292484. The cubic root of 5563680 is about 177.1960545842.

The spelling of 5563680 in words is "five million, five hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 173 201 240 268 335 346 402 480 519 536 670 692 804 865 1005 1038 1072 1340 1384 1608 1730 2010 2076 2144 2595 2680 2768 3216 3460 4020 4152 5190 5360 5536 6432 6920 8040 8304 10380 10720 11591 13840 16080 16608 20760 23182 27680 32160 34773 41520 46364 57955 69546 83040 92728 115910 139092 173865 185456 231820 278184 347730 370912 463640 556368 695460 927280 1112736 1390920 1854560 2781840 5563680