Search a number
-
+
1117145196 = 22344337963
BaseRepresentation
bin100001010010110…
…0100100001101100
32212212002212010000
41002211210201230
54241442121241
6302504144300
736453402036
oct10245444154
92785085100
101117145196
115236657a2
12272168090
1314a5a487b
14a8522c56
1568120eb6
hex4296486c

1117145196 has 60 divisors (see below), whose sum is σ = 2927550472. Its totient is φ = 371475072.

The previous prime is 1117145189. The next prime is 1117145219. The reversal of 1117145196 is 6915417111.

1117145196 is a `hidden beast` number, since 1 + 117 + 1 + 451 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1117145196.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136311 + ... + 144273.

Almost surely, 21117145196 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 1117145196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463775236).

1117145196 is an abundant number, since it is smaller than the sum of its proper divisors (1810405276).

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

1117145196 is a wasteful number, since it uses less digits than its factorization.

1117145196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8412 (or 8401 counting only the distinct ones).

The product of its digits is 7560, while the sum is 36.

The square root of 1117145196 is about 33423.7220548520. The cubic root of 1117145196 is about 1037.6157152785.

The spelling of 1117145196 in words is "one billion, one hundred seventeen million, one hundred forty-five thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 433 866 1299 1732 2598 3897 5196 7794 7963 11691 15588 15926 23382 23889 31852 35073 46764 47778 70146 71667 95556 140292 143334 215001 286668 430002 645003 860004 1290006 2580012 3447979 6895958 10343937 13791916 20687874 31031811 41375748 62063622 93095433 124127244 186190866 279286299 372381732 558572598 1117145196