Search a number
-
+
1160241696 = 253210613797
BaseRepresentation
bin100010100100111…
…1110001000100000
32222212012101101200
41011021332020200
54334010213241
6311044001200
740515614565
oct10511761040
92885171350
101160241696
11545a20839
12284690200
131564b3963
14b014086c
156bcd54b6
hex4527e220

1160241696 has 72 divisors (see below), whose sum is σ = 3303416844. Its totient is φ = 386280960.

The previous prime is 1160241683. The next prime is 1160241697. The reversal of 1160241696 is 6961420611.

1160241696 is a `hidden beast` number, since 1 + 1 + 602 + 41 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1086625296 + 73616400 = 32964^2 + 8580^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 1160241696.

It is not an unprimeable number, because it can be changed into a prime (1160241697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303670 + ... + 307466.

Almost surely, 21160241696 is an apocalyptic number.

1160241696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1160241696 is an abundant number, since it is smaller than the sum of its proper divisors (2143175148).

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

1160241696 is a wasteful number, since it uses less digits than its factorization.

1160241696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4874 (or 4863 counting only the distinct ones).

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

The square root of 1160241696 is about 34062.3207665009. The cubic root of 1160241696 is about 1050.7905447857.

The spelling of 1160241696 in words is "one billion, one hundred sixty million, two hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1061 2122 3183 3797 4244 6366 7594 8488 9549 11391 12732 15188 16976 19098 22782 25464 30376 33952 34173 38196 45564 50928 60752 68346 76392 91128 101856 121504 136692 152784 182256 273384 305568 364512 546768 1093536 4028617 8057234 12085851 16114468 24171702 32228936 36257553 48343404 64457872 72515106 96686808 128915744 145030212 193373616 290060424 386747232 580120848 1160241696