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832071930 = 235314320807
BaseRepresentation
bin110001100110000…
…110100011111010
32010222200122002220
4301212012203322
53201002300210
6214322104510
726422331454
oct6146064372
92128618086
10832071930
11397756a58
121b27ab136
13103501c71
147c7172d4
154d0aec70
hex319868fa

832071930 has 64 divisors (see below), whose sum is σ = 2109431808. Its totient is φ = 209724480.

The previous prime is 832071923. The next prime is 832071937. The reversal of 832071930 is 39170238.

832071930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (832071923) and next prime (832071937).

It is a junction number, because it is equal to n+sod(n) for n = 832071891 and 832071900.

It is not an unprimeable number, because it can be changed into a prime (832071937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29587 + ... + 50393.

It is an arithmetic number, because the mean of its divisors is an integer number (32959872).

Almost surely, 2832071930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832071930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054715904).

832071930 is an abundant number, since it is smaller than the sum of its proper divisors (1277359878).

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

832071930 is a wasteful number, since it uses less digits than its factorization.

832071930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20891.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 832071930 is about 28845.6570387988. The cubic root of 832071930 is about 940.5609787149.

The spelling of 832071930 in words is "eight hundred thirty-two million, seventy-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 43 62 86 93 129 155 186 215 258 310 430 465 645 930 1290 1333 2666 3999 6665 7998 13330 19995 20807 39990 41614 62421 104035 124842 208070 312105 624210 645017 894701 1290034 1789402 1935051 2684103 3225085 3870102 4473505 5368206 6450170 8947010 9675255 13420515 19350510 26841030 27735731 55471462 83207193 138678655 166414386 277357310 416035965 832071930