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830088 = 2335761
BaseRepresentation
bin11001010101010001000
31120011200000
43022222020
5203030323
625443000
710025040
oct3125210
91504600
10830088
11517726
12340460
13230a9c
14178720
15115e43
hexcaa88

830088 has 96 divisors (see below), whose sum is σ = 2708160. Its totient is φ = 233280.

The previous prime is 830051. The next prime is 830099. The reversal of 830088 is 880038.

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

It is an Ulam number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13578 + ... + 13638.

It is an arithmetic number, because the mean of its divisors is an integer number (28210).

2830088 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 830088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354080).

830088 is an abundant number, since it is smaller than the sum of its proper divisors (1878072).

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

830088 is a wasteful number, since it uses less digits than its factorization.

830088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 73 counting only the distinct ones).

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

The square root of 830088 is about 911.0916529088. The cubic root of 830088 is about 93.9812849417.

The spelling of 830088 in words is "eight hundred thirty thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 61 63 72 81 84 108 122 126 162 168 183 189 216 243 244 252 324 366 378 427 486 488 504 549 567 648 732 756 854 972 1098 1134 1281 1464 1512 1647 1701 1708 1944 2196 2268 2562 3294 3402 3416 3843 4392 4536 4941 5124 6588 6804 7686 9882 10248 11529 13176 13608 14823 15372 19764 23058 29646 30744 34587 39528 46116 59292 69174 92232 103761 118584 138348 207522 276696 415044 830088