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830095056 = 243271376011
BaseRepresentation
bin110001011110100…
…011111011010000
32010211222012100100
4301132203323100
53200001020211
6214211452400
726366456130
oct6136437320
92124865310
10830095056
1139662677a
121b1bb7100
13102c8c20b
147c360ac0
154cd1e156
hex317a3ed0

830095056 has 120 divisors (see below), whose sum is σ = 2674810944. Its totient is φ = 235399680.

The previous prime is 830095051. The next prime is 830095067. The reversal of 830095056 is 650590038.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 830095056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830095051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135091 + ... + 141101.

Almost surely, 2830095056 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 830095056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337405472).

830095056 is an abundant number, since it is smaller than the sum of its proper divisors (1844715888).

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

830095056 is a wasteful number, since it uses less digits than its factorization.

830095056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 830095056 is about 28811.3702555085. The cubic root of 830095056 is about 939.8155123078.

The spelling of 830095056 in words is "eight hundred thirty million, ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 137 144 168 252 274 336 411 504 548 822 959 1008 1096 1233 1644 1918 2192 2466 2877 3288 3836 4932 5754 6011 6576 7672 8631 9864 11508 12022 15344 17262 18033 19728 23016 24044 34524 36066 42077 46032 48088 54099 69048 72132 84154 96176 108198 126231 138096 144264 168308 216396 252462 288528 336616 378693 432792 504924 673232 757386 823507 865584 1009848 1514772 1647014 2019696 2470521 3029544 3294028 4941042 5764549 6059088 6588056 7411563 9882084 11529098 13176112 14823126 17293647 19764168 23058196 29646252 34587294 39528336 46116392 51880941 59292504 69174588 92232784 103761882 118585008 138349176 207523764 276698352 415047528 830095056