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4128930 = 2325133529
BaseRepresentation
bin1111110000000010100010
321202202211100
433300002202
52024111210
6224255230
750044461
oct17600242
97682740
104128930
112370143
121471516
13b17470
147969d8
155685c0
hex3f00a2

4128930 has 48 divisors (see below), whose sum is σ = 11564280. Its totient is φ = 1016064.

The previous prime is 4128913. The next prime is 4128931. The reversal of 4128930 is 398214.

It can be written as a sum of positive squares in 4 ways, for example, as 1610361 + 2518569 = 1269^2 + 1587^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4128894 and 4128903.

It is not an unprimeable number, because it can be changed into a prime (4128931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595 + ... + 2934.

Almost surely, 24128930 is an apocalyptic number.

4128930 is an abundant number, since it is smaller than the sum of its proper divisors (7435350).

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

4128930 is a wasteful number, since it uses less digits than its factorization.

4128930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4128930 is about 2031.9768699471. The cubic root of 4128930 is about 160.4276320909.

The spelling of 4128930 in words is "four million, one hundred twenty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 3529 7058 10587 17645 21174 31761 35290 45877 52935 63522 91754 105870 137631 158805 229385 275262 317610 412893 458770 688155 825786 1376310 2064465 4128930