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116906361 = 31113733733
BaseRepresentation
bin1101111011111…
…01100101111001
322010222110101020
412331331211321
5214412000421
615333413053
72616454605
oct675754571
9263873336
10116906361
115aa99530
123319a189
131b2b2a80
1411752505
15a3e3dc6
hex6f7d979

116906361 has 32 divisors (see below), whose sum is σ = 185684352. Its totient is φ = 64488960.

The previous prime is 116906353. The next prime is 116906369. The reversal of 116906361 is 163609611.

It is an interprime number because it is at equal distance from previous prime (116906353) and next prime (116906369).

It is not a de Polignac number, because 116906361 - 23 = 116906353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (116906369) 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 31 ways as a sum of consecutive naturals, for example, 29451 + ... + 33183.

It is an arithmetic number, because the mean of its divisors is an integer number (5802636).

Almost surely, 2116906361 is an apocalyptic number.

116906361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

116906361 is a deficient number, since it is larger than the sum of its proper divisors (68777991).

116906361 is a wasteful number, since it uses less digits than its factorization.

116906361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833.

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 116906361 is about 10812.3244956855. The cubic root of 116906361 is about 488.9668095288.

The spelling of 116906361 in words is "one hundred sixteen million, nine hundred six thousand, three hundred sixty-one".

Divisors: 1 3 11 13 33 39 73 143 219 429 803 949 2409 2847 3733 10439 11199 31317 41063 48529 123189 145587 272509 533819 817527 1601457 2997599 3542617 8992797 10627851 38968787 116906361