Search a number
-
+
10680670 = 2571121397
BaseRepresentation
bin101000101111…
…100101011110
3202002122010101
4220233211132
510213240140
61020531314
7156532660
oct50574536
922078111
1010680670
116035600
1236b0b3a
13229c630
1415c0530
15e0e99a
hexa2f95e

10680670 has 96 divisors (see below), whose sum is σ = 26276544. Its totient is φ = 3041280.

The previous prime is 10680667. The next prime is 10680697. The reversal of 10680670 is 7608601.

It is a super-2 number, since 2×106806702 = 228153423297800, which contains 22 as substring.

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, 110062 + ... + 110158.

It is an arithmetic number, because the mean of its divisors is an integer number (273714).

Almost surely, 210680670 is an apocalyptic number.

10680670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10680670 is an abundant number, since it is smaller than the sum of its proper divisors (15595874).

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

10680670 is a wasteful number, since it uses less digits than its factorization.

10680670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 10680670 is about 3268.1294344013. The cubic root of 10680670 is about 220.2247702778.

The spelling of 10680670 in words is "ten million, six hundred eighty thousand, six hundred seventy".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 97 110 121 130 143 154 182 194 242 286 385 455 485 605 679 715 770 847 910 970 1001 1067 1210 1261 1358 1430 1573 1694 2002 2134 2522 3146 3395 4235 5005 5335 6305 6790 7469 7865 8470 8827 10010 10670 11011 11737 12610 13871 14938 15730 17654 22022 23474 27742 37345 44135 55055 58685 69355 74690 82159 88270 97097 110110 117370 138710 152581 164318 194194 305162 410795 485485 762905 821590 970970 1068067 1525810 2136134 5340335 10680670