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4023630 = 23251319181
BaseRepresentation
bin1111010110010101001110
321120102101100
433112111032
52012224010
6222123530
746125462
oct17262516
97512340
104023630
1122a9016
1214205a6
13aab560
1476a4a2
155472c0
hex3d654e

4023630 has 96 divisors (see below), whose sum is σ = 11924640. Its totient is φ = 933120.

The previous prime is 4023629. The next prime is 4023631. The reversal of 4023630 is 363204.

It is an interprime number because it is at equal distance from previous prime (4023629) and next prime (4023631).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22140 + ... + 22320.

It is an arithmetic number, because the mean of its divisors is an integer number (124215).

Almost surely, 24023630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962320).

4023630 is an abundant number, since it is smaller than the sum of its proper divisors (7901010).

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

4023630 is a wasteful number, since it uses less digits than its factorization.

4023630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 4023630 is about 2005.8988010366. The cubic root of 4023630 is about 159.0520773995.

Adding to 4023630 its reverse (363204), we get a palindrome (4386834).

The spelling of 4023630 in words is "four million, twenty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 181 190 195 234 247 285 342 362 390 494 543 570 585 741 855 905 1086 1170 1235 1482 1629 1710 1810 2223 2353 2470 2715 3258 3439 3705 4446 4706 5430 6878 7059 7410 8145 10317 11115 11765 14118 16290 17195 20634 21177 22230 23530 30951 34390 35295 42354 44707 51585 61902 70590 89414 103170 105885 134121 154755 211770 223535 268242 309510 402363 447070 670605 804726 1341210 2011815 4023630