Search a number
-
+
866213880 = 233579710631
BaseRepresentation
bin110011101000010…
…101111111111000
32020100221020001120
4303220111333320
53233222321010
6221541545240
730315460620
oct6350257770
92210836046
10866213880
11404a56344
12202115220
1310a5c72bc
1483083880
15510a5e70
hex33a15ff8

866213880 has 128 divisors (see below), whose sum is σ = 3000775680. Its totient is φ = 195932160.

The previous prime is 866213861. The next prime is 866213891. The reversal of 866213880 is 88312668.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76165 + ... + 86795.

It is an arithmetic number, because the mean of its divisors is an integer number (23443560).

Almost surely, 2866213880 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 866213880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500387840).

866213880 is an abundant number, since it is smaller than the sum of its proper divisors (2134561800).

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

866213880 is a wasteful number, since it uses less digits than its factorization.

866213880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10749 (or 10745 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 866213880 is about 29431.5116839078. The cubic root of 866213880 is about 953.2534362870.

The spelling of 866213880 in words is "eight hundred sixty-six million, two hundred thirteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 97 105 120 140 168 194 210 280 291 388 420 485 582 679 776 840 970 1164 1358 1455 1940 2037 2328 2716 2910 3395 3880 4074 5432 5820 6790 8148 10185 10631 11640 13580 16296 20370 21262 27160 31893 40740 42524 53155 63786 74417 81480 85048 106310 127572 148834 159465 212620 223251 255144 297668 318930 372085 425240 446502 595336 637860 744170 893004 1031207 1116255 1275720 1488340 1786008 2062414 2232510 2976680 3093621 4124828 4465020 5156035 6187242 7218449 8249656 8930040 10312070 12374484 14436898 15468105 20624140 21655347 24748968 28873796 30936210 36092245 41248280 43310694 57747592 61872420 72184490 86621388 108276735 123744840 144368980 173242776 216553470 288737960 433106940 866213880