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830182960 = 24519546173
BaseRepresentation
bin110001011110111…
…001011000110000
32010212010122221001
4301132321120300
53200011323320
6214213411344
726400303325
oct6136713060
92125118831
10830182960
11396686822
121b2039b54
13102cc0229
147c384b4c
154cd3a20a
hex317b9630

830182960 has 40 divisors (see below), whose sum is σ = 2031767280. Its totient is φ = 314595072.

The previous prime is 830182931. The next prime is 830182967. The reversal of 830182960 is 69281038.

830182960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (830182967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271567 + ... + 274606.

It is an arithmetic number, because the mean of its divisors is an integer number (50794182).

Almost surely, 2830182960 is an apocalyptic number.

830182960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830182960 is an abundant number, since it is smaller than the sum of its proper divisors (1201584320).

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

830182960 is a wasteful number, since it uses less digits than its factorization.

830182960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546205 (or 546199 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 830182960 is about 28812.8957239636. The cubic root of 830182960 is about 939.8486854672.

The spelling of 830182960 in words is "eight hundred thirty million, one hundred eighty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 546173 1092346 2184692 2730865 4369384 5461730 8738768 10377287 10923460 20754574 21846920 41509148 43693840 51886435 83018296 103772870 166036592 207545740 415091480 830182960