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114084608 = 2811229127
BaseRepresentation
bin1101100110011…
…00101100000000
321221200002122212
412303030230000
5213201201413
615153121252
72553463121
oct663145400
9257602585
10114084608
1159441500
1232259228
131a8355b1
141121a048
15a037ca8
hex6cccb00

114084608 has 108 divisors (see below), whose sum is σ = 260977920. Its totient is φ = 49674240.

The previous prime is 114084587. The next prime is 114084617. The reversal of 114084608 is 806480411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898241 + ... + 898367.

Almost surely, 2114084608 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 114084608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130488960).

114084608 is an abundant number, since it is smaller than the sum of its proper divisors (146893312).

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

114084608 is a wasteful number, since it uses less digits than its factorization.

114084608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 114084608 is about 10681.0396497719. The cubic root of 114084608 is about 485.0006844501. Note that the first 3 decimals are identical.

The spelling of 114084608 in words is "one hundred fourteen million, eighty-four thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 121 127 128 176 232 242 254 256 319 352 464 484 508 638 704 928 968 1016 1276 1397 1408 1856 1936 2032 2552 2794 2816 3509 3683 3712 3872 4064 5104 5588 7018 7366 7424 7744 8128 10208 11176 14036 14732 15367 15488 16256 20416 22352 28072 29464 30734 30976 32512 40513 40832 44704 56144 58928 61468 81026 81664 89408 112288 117856 122936 162052 178816 224576 235712 245872 324104 357632 445643 449152 471424 491744 648208 891286 898304 942848 983488 1296416 1782572 1966976 2592832 3565144 3933952 5185664 7130288 10371328 14260576 28521152 57042304 114084608