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116014528 = 2671715233
BaseRepresentation
bin1101110101000…
…11110111000000
322002022011000101
412322203313000
5214144431103
615302332144
72606051530
oct672436700
9262264011
10116014528
115a53a483
1232a2a054
131b05cb66
141159d4c0
15a2b9a1d
hex6ea3dc0

116014528 has 56 divisors (see below), whose sum is σ = 278599392. Its totient is φ = 46792704.

The previous prime is 116014469. The next prime is 116014531. The reversal of 116014528 is 825410611.

116014528 is a nontrivial binomial coefficient, being equal to C(15233, 2).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 116014496 and 116014505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 15232.

Almost surely, 2116014528 is an apocalyptic number.

116014528 is the 15232-nd triangular number.

116014528 is the 5078-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116014528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139299696).

116014528 is an abundant number, since it is smaller than the sum of its proper divisors (162584864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116014528 is a wasteful number, since it uses less digits than its factorization.

116014528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15269 (or 15259 counting only the distinct ones).

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

The square root of 116014528 is about 10771.0040386215. The cubic root of 116014528 is about 487.7202553266.

It can be divided in two parts, 11601 and 4528, that added together give a square (16129 = 1272).

The spelling of 116014528 in words is "one hundred sixteen million, fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 15233 30466 60932 106631 121864 213262 243728 258961 426524 487456 517922 853048 974912 1035844 1706096 1812727 2071688 3412192 3625454 4143376 6824384 7250908 8286752 14501816 16573504 29003632 58007264 116014528