Search a number
-
+
5660760 = 2335723293
BaseRepresentation
bin10101100110000001011000
3101122121002210
4111212001120
52422121020
6321155120
766054450
oct25460130
911577083
105660760
113217016
121a8baa0
131232781
14a74d60
1576c3e0
hex566058

5660760 has 128 divisors (see below), whose sum is σ = 20321280. Its totient is φ = 1233408.

The previous prime is 5660749. The next prime is 5660761. The reversal of 5660760 is 670665.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5660761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19174 + ... + 19466.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 25660760 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 5660760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160640).

5660760 is an abundant number, since it is smaller than the sum of its proper divisors (14660520).

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

5660760 is a wasteful number, since it uses less digits than its factorization.

5660760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 5660760 is about 2379.2351712262. The cubic root of 5660760 is about 178.2207420045.

The spelling of 5660760 in words is "five million, six hundred sixty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 293 322 345 420 460 483 552 586 644 690 805 840 879 920 966 1172 1288 1380 1465 1610 1758 1932 2051 2344 2415 2760 2930 3220 3516 3864 4102 4395 4830 5860 6153 6440 6739 7032 8204 8790 9660 10255 11720 12306 13478 16408 17580 19320 20217 20510 24612 26956 30765 33695 35160 40434 41020 47173 49224 53912 61530 67390 80868 82040 94346 101085 123060 134780 141519 161736 188692 202170 235865 246120 269560 283038 377384 404340 471730 566076 707595 808680 943460 1132152 1415190 1886920 2830380 5660760