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5716880 = 2451323239
BaseRepresentation
bin10101110011101110010000
3101202110002022
4111303232100
52430420010
6322311012
766410201
oct25635620
911673068
105716880
1132551a4
121ab8468
131252190
14a8b5a8
1577dd55
hex573b90

5716880 has 80 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 2010624.

The previous prime is 5716871. The next prime is 5716897. The reversal of 5716880 is 886175.

It is a happy number.

It is a Cunningham number, because it is equal to 23912-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 5716880.

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, 23801 + ... + 24039.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 25716880 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 5716880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

5716880 is an abundant number, since it is smaller than the sum of its proper divisors (9282160).

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

5716880 is a wasteful number, since it uses less digits than its factorization.

5716880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 5716880 is about 2390.9997908825. Note that the first 3 decimals coincide. The cubic root of 5716880 is about 178.8077584063.

The spelling of 5716880 in words is "five million, seven hundred sixteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 239 260 299 368 460 478 520 598 920 956 1040 1195 1196 1495 1840 1912 2390 2392 2990 3107 3824 4780 4784 5497 5980 6214 9560 10994 11960 12428 15535 19120 21988 23920 24856 27485 31070 43976 49712 54970 62140 71461 87952 109940 124280 142922 219880 248560 285844 357305 439760 571688 714610 1143376 1429220 2858440 5716880