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116862993 = 341328537
BaseRepresentation
bin1101111011100…
…11000000010001
322010220020220000
412331303000101
5214404103433
615332440213
72616214302
oct675630021
9263806800
10116862993
115aa69995
1233179069
131b299100
14117407a9
15a3d6113
hex6f73011

116862993 has 30 divisors (see below), whose sum is σ = 189056934. Its totient is φ = 71907264.

The previous prime is 116862989. The next prime is 116863003. The reversal of 116862993 is 399268611.

It is a happy number.

116862993 is a `hidden beast` number, since 1 + 16 + 8 + 629 + 9 + 3 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5602689 + 111260304 = 2367^2 + 10548^2 .

It is not a de Polignac number, because 116862993 - 22 = 116862989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116862973) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 9421 + ... + 17957.

Almost surely, 2116862993 is an apocalyptic number.

116862993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

116862993 is a deficient number, since it is larger than the sum of its proper divisors (72193941).

116862993 is an equidigital number, since it uses as much as digits as its factorization.

116862993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8575 (or 8553 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 116862993 is about 10810.3188204604. The cubic root of 116862993 is about 488.9063390944.

It can be divided in two parts, 116862 and 993, that added together give a triangular number (117855 = T485).

The spelling of 116862993 in words is "one hundred sixteen million, eight hundred sixty-two thousand, nine hundred ninety-three".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 4563 8537 13689 25611 76833 110981 230499 332943 691497 998829 1442753 2996487 4328259 8989461 12984777 38954331 116862993