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116081424 = 2434432083
BaseRepresentation
bin1101110101101…
…00001100010000
322002102112210000
412322310030100
5214204101144
615304010000
72606450544
oct672641420
9262375700
10116081424
115a585768
1232a60900
131b084444
14115b9a24
15a2ce769
hex6eb4310

116081424 has 100 divisors (see below), whose sum is σ = 343951696. Its totient is φ = 37775808.

The previous prime is 116081417. The next prime is 116081447. The reversal of 116081424 is 424180611.

It is a happy number.

116081424 is a `hidden beast` number, since 1 + 160 + 81 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54687 + ... + 56769.

Almost surely, 2116081424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116081424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171975848).

116081424 is an abundant number, since it is smaller than the sum of its proper divisors (227870272).

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

116081424 is a wasteful number, since it uses less digits than its factorization.

116081424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 116081424 is about 10774.1089654783. The cubic root of 116081424 is about 487.8139799827.

The spelling of 116081424 in words is "one hundred sixteen million, eighty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 258 324 344 387 432 516 648 688 774 1032 1161 1296 1548 2064 2083 2322 3096 3483 4166 4644 6192 6249 6966 8332 9288 12498 13932 16664 18576 18747 24996 27864 33328 37494 49992 55728 56241 74988 89569 99984 112482 149976 168723 179138 224964 268707 299952 337446 358276 449928 537414 674892 716552 806121 899856 1074828 1349784 1433104 1612242 2149656 2418363 2699568 3224484 4299312 4836726 6448968 7255089 9673452 12897936 14510178 19346904 29020356 38693808 58040712 116081424