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830602740 = 2235116132053
BaseRepresentation
bin110001100000011…
…111110111110100
32010212220222202110
4301200133313310
53200113241430
6214230411020
726404002222
oct6140376764
92125828673
10830602740
11396943150
121b2200a70
13103109316
147c453b12
154cdbe7b0
hex3181fdf4

830602740 has 96 divisors (see below), whose sum is σ = 2542490496. Its totient is φ = 200931840.

The previous prime is 830602709. The next prime is 830602777. The reversal of 830602740 is 47206038.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 830602698 and 830602707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403554 + ... + 405606.

It is an arithmetic number, because the mean of its divisors is an integer number (26484276).

Almost surely, 2830602740 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 830602740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271245248).

830602740 is an abundant number, since it is smaller than the sum of its proper divisors (1711887756).

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

830602740 is a wasteful number, since it uses less digits than its factorization.

830602740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 830602740 is about 28820.1793887547. The cubic root of 830602740 is about 940.0070695107.

Adding to 830602740 its reverse (47206038), we get a palindrome (877808778).

The spelling of 830602740 in words is "eight hundred thirty million, six hundred two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 613 660 1226 1839 2053 2452 3065 3678 4106 6130 6159 6743 7356 8212 9195 10265 12260 12318 13486 18390 20229 20530 22583 24636 26972 30795 33715 36780 40458 41060 45166 61590 67430 67749 80916 90332 101145 112915 123180 134860 135498 202290 225830 270996 338745 404580 451660 677490 1258489 1354980 2516978 3775467 5033956 6292445 7550934 12584890 13843379 15101868 18877335 25169780 27686758 37754670 41530137 55373516 69216895 75509340 83060274 138433790 166120548 207650685 276867580 415301370 830602740