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4000230 = 2325132263
BaseRepresentation
bin1111010000100111100110
321112020021200
433100213212
52011001410
6221423330
746000323
oct17204746
97466250
104000230
112292483
12140ab46
13aa0a00
14761b4a
155403c0
hex3d09e6

4000230 has 72 divisors (see below), whose sum is σ = 11305008. Its totient is φ = 980928.

The previous prime is 4000189. The next prime is 4000237. The reversal of 4000230 is 320004.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000237) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15079 + ... + 15341.

It is an arithmetic number, because the mean of its divisors is an integer number (157014).

Almost surely, 24000230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652504).

4000230 is an abundant number, since it is smaller than the sum of its proper divisors (7304778).

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

4000230 is a wasteful number, since it uses less digits than its factorization.

4000230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 4000230 is about 2000.0574991735. The cubic root of 4000230 is about 158.7431476572.

Subtracting from 4000230 its product of nonzero digits (24), we obtain a triangular number (4000206 = T2828).

Adding to 4000230 its reverse (320004), we get a palindrome (4320234).

The spelling of 4000230 in words is "four million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 263 338 390 507 526 585 789 845 1014 1170 1315 1521 1578 1690 2367 2535 2630 3042 3419 3945 4734 5070 6838 7605 7890 10257 11835 15210 17095 20514 23670 30771 34190 44447 51285 61542 88894 102570 133341 153855 222235 266682 307710 400023 444470 666705 800046 1333410 2000115 4000230