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116705253 = 3712743759
BaseRepresentation
bin1101111010011…
…00011111100101
322010121020111210
412331030133211
5214334032003
615325222033
72614656360
oct675143745
9263536453
10116705253
115a971425
1233101919
131b242382
14116dd0d7
15a3a4503
hex6f4c7e5

116705253 has 16 divisors (see below), whose sum is σ = 179240960. Its totient is φ = 66162096.

The previous prime is 116705233. The next prime is 116705257. The reversal of 116705253 is 352507611.

It is not a de Polignac number, because 116705253 - 220 = 115656677 is a prime.

It is a cake number, because a cake can be divided into 116705253 parts by 888 planar cuts.

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 116705253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116705257) 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 15 ways as a sum of consecutive naturals, for example, 19213 + ... + 24546.

It is an arithmetic number, because the mean of its divisors is an integer number (11202560).

Almost surely, 2116705253 is an apocalyptic number.

It is an amenable number.

116705253 is a deficient number, since it is larger than the sum of its proper divisors (62535707).

116705253 is a wasteful number, since it uses less digits than its factorization.

116705253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43896.

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 116705253 is about 10803.0205498277. The cubic root of 116705253 is about 488.6862671152.

The spelling of 116705253 in words is "one hundred sixteen million, seven hundred five thousand, two hundred fifty-three".

Divisors: 1 3 7 21 127 381 889 2667 43759 131277 306313 918939 5557393 16672179 38901751 116705253