Search a number
-
+
114604672 = 277139839
BaseRepresentation
bin1101101010010…
…11101010000000
321222122112001111
412311023222000
5213314322142
615212213104
72561060260
oct665135200
9258575044
10114604672
1159767206
123246a194
131a988220
14113137a0
15a0dbe17
hex6d4ba80

114604672 has 64 divisors (see below), whose sum is σ = 281030400. Its totient is φ = 45333504.

The previous prime is 114604661. The next prime is 114604739. The reversal of 114604672 is 276406411.

It is a tau number, because it is divible by the number of its divisors (64).

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, 6729 + ... + 16567.

It is an arithmetic number, because the mean of its divisors is an integer number (4391100).

Almost surely, 2114604672 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 114604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140515200).

114604672 is an abundant number, since it is smaller than the sum of its proper divisors (166425728).

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

114604672 is an equidigital number, since it uses as much as digits as its factorization.

114604672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9873 (or 9861 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 114604672 is about 10705.3571635887. The cubic root of 114604672 is about 485.7365391683.

The spelling of 114604672 in words is "one hundred fourteen million, six hundred four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 9839 11648 19678 39356 68873 78712 127907 137746 157424 255814 275492 314848 511628 550984 629696 895349 1023256 1101968 1259392 1790698 2046512 2203936 3581396 4093024 4407872 7162792 8186048 8815744 14325584 16372096 28651168 57302336 114604672