Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
814968 = 23337311
BaseRepresentation
bin11000110111101111000
31112101221000
43012331320
5202034333
625245000
76633000
oct3067570
91471830
10814968
11507330
12333760
13226c3b
14173000
15111713
hexc6f78

814968 has 128 divisors (see below), whose sum is σ = 2880000. Its totient is φ = 211680.

The previous prime is 814949. The next prime is 814991. The reversal of 814968 is 869418.

814968 = 73 + 83 + ... + 423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 814968.

It is an unprimeable number.

814968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74083 + ... + 74093.

It is an arithmetic number, because the mean of its divisors is an integer number (22500).

2814968 is an apocalyptic number.

814968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440000).

814968 is an abundant number, since it is smaller than the sum of its proper divisors (2065032).

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

814968 is a wasteful number, since it uses less digits than its factorization.

814968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 23 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 814968 is about 902.7557809286. The cubic root of 814968 is about 93.4071638039.

The spelling of 814968 in words is "eight hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 49 54 56 63 66 72 77 84 88 98 99 108 126 132 147 154 168 189 196 198 216 231 252 264 294 297 308 343 378 392 396 441 462 504 539 588 594 616 686 693 756 792 882 924 1029 1078 1176 1188 1323 1372 1386 1512 1617 1764 1848 2058 2079 2156 2376 2646 2744 2772 3087 3234 3528 3773 4116 4158 4312 4851 5292 5544 6174 6468 7546 8232 8316 9261 9702 10584 11319 12348 12936 14553 15092 16632 18522 19404 22638 24696 29106 30184 33957 37044 38808 45276 58212 67914 74088 90552 101871 116424 135828 203742 271656 407484 814968