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116906157 = 3267319301
BaseRepresentation
bin1101111011111…
…01100010101101
322010222110002200
412331331202231
5214411444112
615333412113
72616454164
oct675754255
9263873080
10116906157
115aa99365
123319a039
131b2b2954
14117523db
15a3e3cdc
hex6f7d8ad

116906157 has 12 divisors (see below), whose sum is σ = 169124124. Its totient is φ = 77817600.

The previous prime is 116906149. The next prime is 116906173. The reversal of 116906157 is 751609611.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51926436 + 64979721 = 7206^2 + 8061^2 .

It is not a de Polignac number, because 116906157 - 23 = 116906149 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116906117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3594 + ... + 15707.

It is an arithmetic number, because the mean of its divisors is an integer number (14093677).

Almost surely, 2116906157 is an apocalyptic number.

It is an amenable number.

116906157 is a deficient number, since it is larger than the sum of its proper divisors (52217967).

116906157 is a wasteful number, since it uses less digits than its factorization.

116906157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19980 (or 19977 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 116906157 is about 10812.3150620022. The cubic root of 116906157 is about 488.9665251151.

The spelling of 116906157 in words is "one hundred sixteen million, nine hundred six thousand, one hundred fifty-seven".

Divisors: 1 3 9 673 2019 6057 19301 57903 173709 12989573 38968719 116906157