Search a number
-
+
861963102 = 2327112134349
BaseRepresentation
bin110011011000001…
…000001101011110
32020001221021002100
4303120020031132
53231130304402
6221310505530
730234364650
oct6330101536
92201837070
10861963102
11402612700
122008052a6
13109769550
14826986d0
1550a1671c
hex3360835e

861963102 has 144 divisors (see below), whose sum is σ = 2527106400. Its totient is φ = 206616960.

The previous prime is 861963083. The next prime is 861963103. The reversal of 861963102 is 201369168.

861963102 is a `hidden beast` number, since 8 + 6 + 19 + 631 + 0 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861963103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 196024 + ... + 200372.

It is an arithmetic number, because the mean of its divisors is an integer number (17549350).

Almost surely, 2861963102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861963102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263553200).

861963102 is an abundant number, since it is smaller than the sum of its proper divisors (1665143298).

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

861963102 is a wasteful number, since it uses less digits than its factorization.

861963102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 861963102 is about 29359.2081296482. The cubic root of 861963102 is about 951.6915760243.

It can be divided in two parts, 86196 and 3102, that added together give a palindrome (89298).

The spelling of 861963102 in words is "eight hundred sixty-one million, nine hundred sixty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 121 126 143 154 182 198 231 234 242 273 286 363 429 462 546 693 726 819 847 858 1001 1089 1287 1386 1573 1638 1694 2002 2178 2541 2574 3003 3146 4349 4719 5082 6006 7623 8698 9009 9438 11011 13047 14157 15246 18018 22022 26094 28314 30443 33033 39141 47839 56537 60886 66066 78282 91329 95678 99099 113074 143517 169611 182658 198198 273987 287034 334873 339222 395759 430551 508833 526229 547974 621907 669746 791518 861102 1004619 1017666 1052458 1187277 1243814 1578687 1865721 2009238 2374554 3013857 3157374 3561831 3683603 3731442 4353349 4736061 5597163 6027714 6840977 7123662 7367206 8706698 9472122 11050809 11194326 13060047 13681954 20522931 22101618 26120094 33152427 39180141 41045862 47886839 61568793 66304854 78360282 95773678 123137586 143660517 287321034 430981551 861963102