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5568640 = 275711113
BaseRepresentation
bin10101001111100010000000
3101110220201221
4111033202000
52411144030
6315204424
765222050
oct25174200
911426657
105568640
113163890
121a46714
1311cc86c
14a4d560
1574ee7a
hex54f880

5568640 has 128 divisors (see below), whose sum is σ = 16744320. Its totient is φ = 1720320.

The previous prime is 5568637. The next prime is 5568643. The reversal of 5568640 is 468655.

It is an interprime number because it is at equal distance from previous prime (5568637) and next prime (5568643).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 5568596 and 5568605.

It is not an unprimeable number, because it can be changed into a prime (5568643) 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, 49224 + ... + 49336.

It is an arithmetic number, because the mean of its divisors is an integer number (130815).

Almost surely, 25568640 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 5568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372160).

5568640 is an abundant number, since it is smaller than the sum of its proper divisors (11175680).

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

5568640 is a wasteful number, since it uses less digits than its factorization.

5568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 5568640 is about 2359.7966014045. The cubic root of 5568640 is about 177.2486954852.

The spelling of 5568640 in words is "five million, five hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 113 128 140 154 160 176 220 224 226 280 308 320 352 385 440 448 452 560 565 616 640 704 770 791 880 896 904 1120 1130 1232 1243 1408 1540 1582 1760 1808 2240 2260 2464 2486 3080 3164 3520 3616 3955 4480 4520 4928 4972 6160 6215 6328 7040 7232 7910 8701 9040 9856 9944 12320 12430 12656 14464 15820 17402 18080 19888 24640 24860 25312 31640 34804 36160 39776 43505 49280 49720 50624 63280 69608 72320 79552 87010 99440 101248 126560 139216 159104 174020 198880 253120 278432 348040 397760 506240 556864 696080 795520 1113728 1392160 2784320 5568640