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116258401 = 7314711399
BaseRepresentation
bin1101110110111…
…11011001100001
322002202112112201
412323133121201
5214230232101
615311453201
72611115530
oct673373141
9262675481
10116258401
115a696726
1232b27201
131b116b6c
1411624317
15a316e01
hex6edf661

116258401 has 16 divisors (see below), whose sum is σ = 140083200. Its totient is φ = 94375440.

The previous prime is 116258383. The next prime is 116258407. The reversal of 116258401 is 104852611.

It is a cyclic number.

It is not a de Polignac number, because 116258401 - 27 = 116258273 is a prime.

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 116258401.

It is not an unprimeable number, because it can be changed into a prime (116258407) 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, 4500 + ... + 15898.

It is an arithmetic number, because the mean of its divisors is an integer number (8755200).

Almost surely, 2116258401 is an apocalyptic number.

It is an amenable number.

116258401 is a deficient number, since it is larger than the sum of its proper divisors (23824799).

116258401 is a wasteful number, since it uses less digits than its factorization.

116258401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11484.

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 116258401 is about 10782.3189064320. The cubic root of 116258401 is about 488.0617601334.

The spelling of 116258401 in words is "one hundred sixteen million, two hundred fifty-eight thousand, four hundred one".

Divisors: 1 7 31 47 217 329 1457 10199 11399 79793 353369 535753 2473583 3750271 16608343 116258401