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4065930 = 233511372
BaseRepresentation
bin1111100000101010001010
321122120102000
433200222022
52020102210
6223051430
746363011
oct17405212
97576360
104065930
112327880
121440b76
13ac489b
1477ba78
15554ac0
hex3e0a8a

4065930 has 96 divisors (see below), whose sum is σ = 12156480. Its totient is φ = 959040.

The previous prime is 4065913. The next prime is 4065937. The reversal of 4065930 is 395604.

It is a happy number.

4065930 is a `hidden beast` number, since 4 + 0 + 659 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4065894 and 4065903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4065937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109872 + ... + 109908.

It is an arithmetic number, because the mean of its divisors is an integer number (126630).

Almost surely, 24065930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4065930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078240).

4065930 is an abundant number, since it is smaller than the sum of its proper divisors (8090550).

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

4065930 is a wasteful number, since it uses less digits than its factorization.

4065930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 4065930 is about 2016.4151358289. The cubic root of 4065930 is about 159.6075014847.

It can be divided in two parts, 406 and 5930, that added together give a palindrome (6336).

The spelling of 4065930 in words is "four million, sixty-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 37 45 54 55 66 74 90 99 110 111 135 165 185 198 222 270 297 330 333 370 407 495 555 594 666 814 990 999 1110 1221 1369 1485 1665 1998 2035 2442 2738 2970 3330 3663 4070 4107 4995 6105 6845 7326 8214 9990 10989 12210 12321 13690 15059 18315 20535 21978 24642 30118 36630 36963 41070 45177 54945 61605 73926 75295 90354 109890 123210 135531 150590 184815 225885 271062 369630 406593 451770 677655 813186 1355310 2032965 4065930