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116126461 = 11193715017
BaseRepresentation
bin1101110101111…
…11001011111101
322002111211120001
412322333023331
5214212021321
615304554301
72610026053
oct672771375
9262454501
10116126461
115a606590
1232a82991
131b09baa9
14115cc1d3
15a2dcc91
hex6ebf2fd

116126461 has 16 divisors (see below), whose sum is σ = 136964160. Its totient is φ = 97303680.

The previous prime is 116126453. The next prime is 116126489. The reversal of 116126461 is 164621611.

116126461 = T1990 + T1991 + ... + T2046.

It is a cyclic number.

It is not a de Polignac number, because 116126461 - 23 = 116126453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116126261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225 + ... + 15241.

It is an arithmetic number, because the mean of its divisors is an integer number (8560260).

Almost surely, 2116126461 is an apocalyptic number.

116126461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

116126461 is a deficient number, since it is larger than the sum of its proper divisors (20837699).

116126461 is a wasteful number, since it uses less digits than its factorization.

116126461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15084.

The product of its digits is 1728, while the sum is 28.

The square root of 116126461 is about 10776.1988196210. The cubic root of 116126461 is about 487.8770588022.

The spelling of 116126461 in words is "one hundred sixteen million, one hundred twenty-six thousand, four hundred sixty-one".

Divisors: 1 11 19 37 209 407 703 7733 15017 165187 285323 555629 3138553 6111919 10556951 116126461