Search a number
-
+
860656140 = 2232512737649
BaseRepresentation
bin110011010011001…
…001001000001100
32012222110212021100
4303103021020030
53230311444030
6221222503100
730220312401
oct6323111014
92188425240
10860656140
114018aa773
12200294a90
131093cc6b6
14824382a8
1550859360
hex334c920c

860656140 has 72 divisors (see below), whose sum is σ = 2631283200. Its totient is φ = 227695104.

The previous prime is 860656103. The next prime is 860656157. The reversal of 860656140 is 41656068.

860656140 is a `hidden beast` number, since 8 + 606 + 5 + 6 + 1 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 860656095 and 860656104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4036 + ... + 41684.

It is an arithmetic number, because the mean of its divisors is an integer number (36545600).

Almost surely, 2860656140 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 860656140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315641600).

860656140 is an abundant number, since it is smaller than the sum of its proper divisors (1770627060).

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

860656140 is a wasteful number, since it uses less digits than its factorization.

860656140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37791 (or 37786 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 860656140 is about 29336.9415583833. The cubic root of 860656140 is about 951.2103280809.

It can be divided in two parts, 8606 and 56140, that added together give a palindrome (64746).

The spelling of 860656140 in words is "eight hundred sixty million, six hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 11430 22860 37649 75298 112947 150596 188245 225894 338841 376490 451788 564735 677682 752980 1129470 1355364 1694205 2258940 3388410 4781423 6776820 9562846 14344269 19125692 23907115 28688538 43032807 47814230 57377076 71721345 86065614 95628460 143442690 172131228 215164035 286885380 430328070 860656140