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117400369 = 1374012137
BaseRepresentation
bin1101111111101…
…10001100110001
322011220120000211
412333312030301
5220023302434
615352144121
72623613062
oct677661461
9264816024
10117400369
11602a66a9
1233398041
131b426898
1411840569
15a490464
hex6ff6331

117400369 has 8 divisors (see below), whose sum is σ = 118607688. Its totient is φ = 116198400.

The previous prime is 117400337. The next prime is 117400391. The reversal of 117400369 is 963004711.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26388769 + 91011600 = 5137^2 + 9540^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 117400369 - 25 = 117400337 is a prime.

It is a super-3 number, since 3×1174003693 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 117400369.

It is not an unprimeable number, because it can be changed into a prime (117400469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53869 + ... + 56005.

It is an arithmetic number, because the mean of its divisors is an integer number (14825961).

Almost surely, 2117400369 is an apocalyptic number.

It is an amenable number.

117400369 is a deficient number, since it is larger than the sum of its proper divisors (1207319).

117400369 is a wasteful number, since it uses less digits than its factorization.

117400369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 117400369 is about 10835.1450844001. The cubic root of 117400369 is about 489.6545795470.

The spelling of 117400369 in words is "one hundred seventeen million, four hundred thousand, three hundred sixty-nine".

Divisors: 1 137 401 2137 54937 292769 856937 117400369