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830144 = 26717109
BaseRepresentation
bin11001010101011000000
31120011202002
43022223000
5203031034
625443132
710025150
oct3125300
91504662
10830144
11517777
123404a8
13230b13
14178760
15115e7e
hexcaac0

830144 has 56 divisors (see below), whose sum is σ = 2011680. Its totient is φ = 331776.

The previous prime is 830143. The next prime is 830153. The reversal of 830144 is 441038.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 830144.

It is not an unprimeable number, because it can be changed into a prime (830143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7562 + ... + 7670.

2830144 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 830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005840).

830144 is an abundant number, since it is smaller than the sum of its proper divisors (1181536).

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

830144 is a wasteful number, since it uses less digits than its factorization.

830144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 830144 is about 911.1223847541. The cubic root of 830144 is about 93.9833983054.

The spelling of 830144 in words is "eight hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 109 112 119 136 218 224 238 272 436 448 476 544 763 872 952 1088 1526 1744 1853 1904 3052 3488 3706 3808 6104 6976 7412 7616 12208 12971 14824 24416 25942 29648 48832 51884 59296 103768 118592 207536 415072 830144