[go: up one dir, main page]

Search a number
-
+
6986070 = 2325713853
BaseRepresentation
bin11010101001100101010110
3111010221002100
4122221211112
53242023240
6405422530
7113244360
oct32514526
914127070
106986070
113a41813
12240aa46
1315a7a90
14cdbd30
1592ee30
hex6a9956

6986070 has 96 divisors (see below), whose sum is σ = 22381632. Its totient is φ = 1472256.

The previous prime is 6986047. The next prime is 6986087. The reversal of 6986070 is 706896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7764 + ... + 8616.

It is an arithmetic number, because the mean of its divisors is an integer number (233142).

Almost surely, 26986070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6986070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11190816).

6986070 is an abundant number, since it is smaller than the sum of its proper divisors (15395562).

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

6986070 is a wasteful number, since it uses less digits than its factorization.

6986070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6986070 is about 2643.1174775254. The cubic root of 6986070 is about 191.1661429112.

The spelling of 6986070 in words is "six million, nine hundred eighty-six thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 853 910 1170 1365 1638 1706 2559 2730 4095 4265 5118 5971 7677 8190 8530 11089 11942 12795 15354 17913 22178 25590 29855 33267 35826 38385 53739 55445 59710 66534 76770 77623 89565 99801 107478 110890 155246 166335 179130 199602 232869 268695 332670 388115 465738 499005 537390 698607 776230 998010 1164345 1397214 2328690 3493035 6986070