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4290930 = 232573139
BaseRepresentation
bin10000010111100101110010
322002000001100
4100113211302
52044302210
6231545230
751321000
oct20274562
98060040
104290930
112470926
12152b216
13b73117
147d9a70
1559b5c0
hex417972

4290930 has 96 divisors (see below), whose sum is σ = 13104000. Its totient is φ = 973728.

The previous prime is 4290911. The next prime is 4290931. The reversal of 4290930 is 390924.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4290894 and 4290903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4290931) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 30801 + ... + 30939.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

Almost surely, 24290930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4290930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552000).

4290930 is an abundant number, since it is smaller than the sum of its proper divisors (8813070).

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

4290930 is a wasteful number, since it uses less digits than its factorization.

4290930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 4290930 is about 2071.4560096705. The cubic root of 4290930 is about 162.4989191250.

The spelling of 4290930 in words is "four million, two hundred ninety thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 139 147 210 245 278 294 315 343 417 441 490 630 686 695 735 834 882 973 1029 1251 1390 1470 1715 1946 2058 2085 2205 2502 2919 3087 3430 4170 4410 4865 5145 5838 6174 6255 6811 8757 9730 10290 12510 13622 14595 15435 17514 20433 29190 30870 34055 40866 43785 47677 61299 68110 87570 95354 102165 122598 143031 204330 238385 286062 306495 429093 476770 612990 715155 858186 1430310 2145465 4290930