Search a number
-
+
1242324200 = 2352131034639
BaseRepresentation
bin100101000001100…
…0101110011101000
310012120122121102102
41022003011303220
510021013333300
6323135152532
742533403305
oct11203056350
93176577372
101242324200
11588294617
122a8075748
1316a4c2ba0
14badca0ac
15740eb0d5
hex4a0c5ce8

1242324200 has 96 divisors (see below), whose sum is σ = 3141465600. Its totient is φ = 454152960.

The previous prime is 1242324191. The next prime is 1242324229. The reversal of 1242324200 is 24232421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 265481 + ... + 270119.

It is an arithmetic number, because the mean of its divisors is an integer number (32723600).

Almost surely, 21242324200 is an apocalyptic number.

1242324200 is a gapful number since it is divisible by the number (10) 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 1242324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570732800).

1242324200 is an abundant number, since it is smaller than the sum of its proper divisors (1899141400).

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

1242324200 is a wasteful number, since it uses less digits than its factorization.

1242324200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1242324200 is about 35246.6196960787. The cubic root of 1242324200 is about 1075.0078816801.

Adding to 1242324200 its reverse (24232421), we get a palindrome (1266556621).

The spelling of 1242324200 in words is "one billion, two hundred forty-two million, three hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 103 104 130 200 206 260 325 412 515 520 650 824 1030 1300 1339 2060 2575 2600 2678 4120 4639 5150 5356 6695 9278 10300 10712 13390 18556 20600 23195 26780 33475 37112 46390 53560 60307 66950 92780 115975 120614 133900 185560 231950 241228 267800 301535 463900 477817 482456 603070 927800 955634 1206140 1507675 1911268 2389085 2412280 3015350 3822536 4778170 6030700 6211621 9556340 11945425 12061400 12423242 19112680 23890850 24846484 31058105 47781700 49692968 62116210 95563400 124232420 155290525 248464840 310581050 621162100 1242324200