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4230000 = 24325447
BaseRepresentation
bin10000001000101101110000
321221220110200
4100020231300
52040330000
6230355200
750645235
oct20105560
97856420
104230000
11242a075
1214bbb00
13b51478
147c178c
15588500
hex408b70

4230000 has 150 divisors (see below), whose sum is σ = 15107664. Its totient is φ = 1104000.

The previous prime is 4229993. The next prime is 4230007. The reversal of 4230000 is 324.

It is an interprime number because it is at equal distance from previous prime (4229993) and next prime (4230007).

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4230007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89977 + ... + 90023.

Almost surely, 24230000 is an apocalyptic number.

4230000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7553832).

4230000 is an abundant number, since it is smaller than the sum of its proper divisors (10877664).

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

4230000 is a wasteful number, since it uses less digits than its factorization.

4230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 57 counting only the distinct ones).

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

The square root of 4230000 is about 2056.6963801203. The cubic root of 4230000 is about 161.7261032503.

Adding to 4230000 its reverse (324), we get a palindrome (4230324).

The spelling of 4230000 in words is "four million, two hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 47 48 50 60 72 75 80 90 94 100 120 125 141 144 150 180 188 200 225 235 240 250 282 300 360 375 376 400 423 450 470 500 564 600 625 705 720 750 752 846 900 940 1000 1125 1128 1175 1200 1250 1410 1500 1692 1800 1875 1880 2000 2115 2250 2256 2350 2500 2820 3000 3384 3525 3600 3750 3760 4230 4500 4700 5000 5625 5640 5875 6000 6768 7050 7500 8460 9000 9400 10000 10575 11250 11280 11750 14100 15000 16920 17625 18000 18800 21150 22500 23500 28200 29375 30000 33840 35250 42300 45000 47000 52875 56400 58750 70500 84600 88125 90000 94000 105750 117500 141000 169200 176250 211500 235000 264375 282000 352500 423000 470000 528750 705000 846000 1057500 1410000 2115000 4230000