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4032930 = 235113101
BaseRepresentation
bin1111011000100110100010
321120220010210
433120212202
52013023210
6222234550
746164546
oct17304642
97526123
104032930
112305000
121425a56
13ab2865
1476da26
15549e20
hex3d89a2

4032930 has 64 divisors (see below), whose sum is σ = 10751616. Its totient is φ = 968000.

The previous prime is 4032923. The next prime is 4032947. The reversal of 4032930 is 392304.

4032930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4032897 and 4032906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39880 + ... + 39980.

It is an arithmetic number, because the mean of its divisors is an integer number (167994).

Almost surely, 24032930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375808).

4032930 is an abundant number, since it is smaller than the sum of its proper divisors (6718686).

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

4032930 is a wasteful number, since it uses less digits than its factorization.

4032930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 4032930 is about 2008.2156258729. The cubic root of 4032930 is about 159.1745245550.

It can be divided in two parts, 403 and 2930, that added together give a palindrome (3333).

The spelling of 4032930 in words is "four million, thirty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 121 165 202 242 303 330 363 505 605 606 726 1010 1111 1210 1331 1515 1815 2222 2662 3030 3333 3630 3993 5555 6655 6666 7986 11110 12221 13310 16665 19965 24442 33330 36663 39930 61105 73326 122210 134431 183315 268862 366630 403293 672155 806586 1344310 2016465 4032930