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5768880 = 243513432
BaseRepresentation
bin10110000000011010110000
3101212002102020
4112000122300
52434101010
6323351440
7100014615
oct26003260
911762366
105768880
113290277
121b22580
13126ca50
14aa250c
1578e470
hex5806b0

5768880 has 120 divisors (see below), whose sum is σ = 19717488. Its totient is φ = 1387008.

The previous prime is 5768869. The next prime is 5768887. The reversal of 5768880 is 888675.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (5768887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134139 + ... + 134181.

Almost surely, 25768880 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 5768880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9858744).

5768880 is an abundant number, since it is smaller than the sum of its proper divisors (13948608).

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

5768880 is a wasteful number, since it uses less digits than its factorization.

5768880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 5768880 is about 2401.8492875283. The cubic root of 5768880 is about 179.3482603287.

The spelling of 5768880 in words is "five million, seven hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 43 48 52 60 65 78 80 86 104 120 129 130 156 172 195 208 215 240 258 260 312 344 390 430 516 520 559 624 645 688 780 860 1032 1040 1118 1290 1560 1677 1720 1849 2064 2236 2580 2795 3120 3354 3440 3698 4472 5160 5547 5590 6708 7396 8385 8944 9245 10320 11094 11180 13416 14792 16770 18490 22188 22360 24037 26832 27735 29584 33540 36980 44376 44720 48074 55470 67080 72111 73960 88752 96148 110940 120185 134160 144222 147920 192296 221880 240370 288444 360555 384592 443760 480740 576888 721110 961480 1153776 1442220 1922960 2884440 5768880