Search a number
-
+
1115945568 = 253267151383
BaseRepresentation
bin100001010000011…
…1111101001100000
32212202211220112100
41002200333221200
54241140224233
6302422330400
736440244423
oct10240775140
92782756470
101115945568
11522a16471
12271889a00
1314a27482a
14a82cd9ba
1567e85813
hex4283fa60

1115945568 has 144 divisors (see below), whose sum is σ = 3250630656. Its totient is φ = 363052800.

The previous prime is 1115945539. The next prime is 1115945573. The reversal of 1115945568 is 8655495111.

1115945568 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 94 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2913505 + ... + 2913887.

It is an arithmetic number, because the mean of its divisors is an integer number (22573824).

Almost surely, 21115945568 is an apocalyptic number.

1115945568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1115945568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625315328).

1115945568 is an abundant number, since it is smaller than the sum of its proper divisors (2134685088).

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

1115945568 is a wasteful number, since it uses less digits than its factorization.

1115945568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 606 counting only the distinct ones).

The product of its digits is 216000, while the sum is 45.

The square root of 1115945568 is about 33405.7714773959. The cubic root of 1115945568 is about 1037.2441733971.

The spelling of 1115945568 in words is "one billion, one hundred fifteen million, nine hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 151 201 268 288 302 383 402 453 536 603 604 766 804 906 1072 1149 1206 1208 1359 1532 1608 1812 2144 2298 2412 2416 2718 3064 3216 3447 3624 4596 4824 4832 5436 6128 6432 6894 7248 9192 9648 10117 10872 12256 13788 14496 18384 19296 20234 21744 25661 27576 30351 36768 40468 43488 51322 55152 57833 60702 76983 80936 91053 102644 110304 115666 121404 153966 161872 173499 182106 205288 230949 231332 242808 307932 323744 346998 364212 410576 461898 462664 485616 520497 615864 693996 728424 821152 923796 925328 971232 1040994 1231728 1387992 1456848 1847592 1850656 2081988 2463456 2775984 2913696 3695184 3874811 4163976 5551968 7390368 7749622 8327952 11624433 15499244 16655904 23248866 30998488 34873299 46497732 61996976 69746598 92995464 123993952 139493196 185990928 278986392 371981856 557972784 1115945568