Search a number
-
+
861589014 = 23111329311117
BaseRepresentation
bin110011010110101…
…100111000010110
32020001020020221020
4303112230320112
53231031322024
6221254502010
730231246216
oct6326547026
92201206836
10861589014
11402387640
12200664906
131096681b0
14825dc246
1550990979
hex335ace16

861589014 has 128 divisors (see below), whose sum is σ = 2163732480. Its totient is φ = 224985600.

The previous prime is 861589013. The next prime is 861589033. The reversal of 861589014 is 410985168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861589013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 770784 + ... + 771900.

It is an arithmetic number, because the mean of its divisors is an integer number (16904160).

Almost surely, 2861589014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861589014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081866240).

861589014 is an abundant number, since it is smaller than the sum of its proper divisors (1302143466).

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

861589014 is a wasteful number, since it uses less digits than its factorization.

861589014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206.

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 861589014 is about 29352.8365579887. The cubic root of 861589014 is about 951.5538795216.

The spelling of 861589014 in words is "eight hundred sixty-one million, five hundred eighty-nine thousand, fourteen".

Divisors: 1 2 3 6 11 13 22 26 29 31 33 39 58 62 66 78 87 93 143 174 186 286 319 341 377 403 429 638 682 754 806 858 899 957 1023 1117 1131 1209 1798 1914 2046 2234 2262 2418 2697 3351 4147 4433 5394 6702 8294 8866 9889 11687 12287 12441 13299 14521 19778 23374 24574 24882 26598 29042 29667 32393 34627 35061 36861 43563 59334 64786 69254 70122 73722 87126 97179 103881 128557 159731 194358 207762 257114 319462 356323 380897 385671 421109 450151 479193 712646 761794 771342 842218 900302 958386 1004183 1068969 1142691 1263327 1350453 2008366 2137938 2285382 2526654 2700906 3012549 4632199 4951661 6025098 9264398 9903322 11046013 13054379 13896597 14854983 22092026 26108758 27793194 29709966 33138039 39163137 66276078 78326274 143598169 287196338 430794507 861589014