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830017530 = 2365412777
BaseRepresentation
bin110001011110010…
…000111111111010
32010211211021000000
4301132100333322
53144441030110
6214210053430
726366014116
oct6136207772
92124737000
10830017530
11396583501
121b1b7a276
13102c62b44
147c340746
154cd061c0
hex31790ffa

830017530 has 112 divisors (see below), whose sum is σ = 2295483624. Its totient is φ = 215861760.

The previous prime is 830017493. The next prime is 830017541. The reversal of 830017530 is 35710038.

It can be written as a sum of positive squares in 4 ways, for example, as 292102281 + 537915249 = 17091^2 + 23193^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 830017494 and 830017503.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 297502 + ... + 300278.

Almost surely, 2830017530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830017530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147741812).

830017530 is an abundant number, since it is smaller than the sum of its proper divisors (1465466094).

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

830017530 is a wasteful number, since it uses less digits than its factorization.

830017530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 830017530 is about 28810.0248177609. The cubic root of 830017530 is about 939.7862536483.

Adding to 830017530 its reverse (35710038), we get a palindrome (865727568).

The spelling of 830017530 in words is "eight hundred thirty million, seventeen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 243 246 270 369 405 410 486 615 729 738 810 1107 1215 1230 1458 1845 2214 2430 2777 3321 3645 3690 5535 5554 6642 7290 8331 9963 11070 13885 16605 16662 19926 24993 27770 29889 33210 41655 49815 49986 59778 74979 83310 99630 113857 124965 149445 149958 224937 227714 249930 298890 341571 374895 449874 569285 674811 683142 749790 1024713 1124685 1138570 1349622 1707855 2024433 2049426 2249370 3074139 3374055 3415710 4048866 5123565 6148278 6748110 9222417 10122165 10247130 15370695 18444834 20244330 27667251 30741390 46112085 55334502 83001753 92224170 138336255 166003506 276672510 415008765 830017530