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4240200 = 2335237191
BaseRepresentation
bin10000001011001101001000
321222102110110
4100023031020
52041141300
6230514320
751020046
oct20131510
97872413
104240200
1124367a8
1215059a0
13b55cc3
147c5396
1558b550
hex40b348

4240200 has 96 divisors (see below), whose sum is σ = 13570560. Its totient is φ = 1094400.

The previous prime is 4240183. The next prime is 4240207. The reversal of 4240200 is 20424.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (4240207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22105 + ... + 22295.

It is an arithmetic number, because the mean of its divisors is an integer number (141360).

Almost surely, 24240200 is an apocalyptic number.

4240200 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 4240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785280).

4240200 is an abundant number, since it is smaller than the sum of its proper divisors (9330360).

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

4240200 is a wasteful number, since it uses less digits than its factorization.

4240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4240200 is about 2059.1745919178. The cubic root of 4240200 is about 161.8559915168.

Adding to 4240200 its reverse (20424), we get a palindrome (4260624).

The spelling of 4240200 in words is "four million, two hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 191 200 222 296 300 370 382 444 555 573 600 740 764 888 925 955 1110 1146 1480 1528 1850 1910 2220 2292 2775 2865 3700 3820 4440 4584 4775 5550 5730 7067 7400 7640 9550 11100 11460 14134 14325 19100 21201 22200 22920 28268 28650 35335 38200 42402 56536 57300 70670 84804 106005 114600 141340 169608 176675 212010 282680 353350 424020 530025 706700 848040 1060050 1413400 2120100 4240200