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830535540 = 223543893617
BaseRepresentation
bin110001100000001…
…111011101110100
32010212210120120120
4301200033131310
53200104114130
6214225131540
726403302262
oct6140173564
92125716516
10830535540
113968a770a
121b2189bb0
131030b4863
147c437432
154cda9910
hex3180f774

830535540 has 96 divisors (see below), whose sum is σ = 2406983040. Its totient is φ = 213835776.

The previous prime is 830535533. The next prime is 830535577. The reversal of 830535540 is 45535038.

830535540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227812 + ... + 231428.

It is an arithmetic number, because the mean of its divisors is an integer number (25072740).

Almost surely, 2830535540 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 830535540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203491520).

830535540 is an abundant number, since it is smaller than the sum of its proper divisors (1576447500).

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

830535540 is a wasteful number, since it uses less digits than its factorization.

830535540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 830535540 is about 28819.0135153860. The cubic root of 830535540 is about 939.9817183709.

The spelling of 830535540 in words is "eight hundred thirty million, five hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 89 129 172 178 215 258 267 356 430 445 516 534 645 860 890 1068 1290 1335 1780 2580 2670 3617 3827 5340 7234 7654 10851 11481 14468 15308 18085 19135 21702 22962 36170 38270 43404 45924 54255 57405 72340 76540 108510 114810 155531 217020 229620 311062 321913 466593 622124 643826 777655 933186 965739 1287652 1555310 1609565 1866372 1931478 2332965 3110620 3219130 3862956 4665930 4828695 6438260 9331860 9657390 13842259 19314780 27684518 41526777 55369036 69211295 83053554 138422590 166107108 207633885 276845180 415267770 830535540