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116643293 = 1325691213
BaseRepresentation
bin1101111001111…
…01010111011101
322010111002111222
412330331113131
5214330041133
615324023125
72614310624
oct674752735
9263432458
10116643293
115a929918
1233091aa5
131b220100
14116c46bb
15a390e98
hex6f3d5dd

116643293 has 12 divisors (see below), whose sum is σ = 126632340. Its totient is φ = 107392896.

The previous prime is 116643287. The next prime is 116643313. The reversal of 116643293 is 392346611.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 67601284 + 49042009 = 8222^2 + 7003^2 .

It is not a de Polignac number, because 116643293 - 216 = 116577757 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116643193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95555 + ... + 96767.

It is an arithmetic number, because the mean of its divisors is an integer number (10552695).

Almost surely, 2116643293 is an apocalyptic number.

116643293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

116643293 is a deficient number, since it is larger than the sum of its proper divisors (9989047).

116643293 is a wasteful number, since it uses less digits than its factorization.

116643293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1795 counting only the distinct ones).

The product of its digits is 23328, while the sum is 35.

The square root of 116643293 is about 10800.1524526277. The cubic root of 116643293 is about 488.5997689774.

The spelling of 116643293 in words is "one hundred sixteen million, six hundred forty-three thousand, two hundred ninety-three".

Divisors: 1 13 169 569 1213 7397 15769 96161 204997 690197 8972561 116643293