Search a number
-
+
142411300 = 22521977229
BaseRepresentation
bin10000111110100…
…00011000100100
3100220222020120121
420133100120210
5242424130200
622044211324
73346322203
oct1037203044
9326866517
10142411300
1173429799
123b839b44
1323672a55
1414cb123a
15c780e1a
hex87d0624

142411300 has 36 divisors (see below), whose sum is σ = 310644180. Its totient is φ = 56667520.

The previous prime is 142411277. The next prime is 142411337. The reversal of 142411300 is 3114241.

It can be written as a sum of positive squares in 6 ways, for example, as 38738176 + 103673124 = 6224^2 + 10182^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16086 + ... + 23314.

It is an arithmetic number, because the mean of its divisors is an integer number (8629005).

Almost surely, 2142411300 is an apocalyptic number.

142411300 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 142411300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155322090).

142411300 is an abundant number, since it is smaller than the sum of its proper divisors (168232880).

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

142411300 is a wasteful number, since it uses less digits than its factorization.

142411300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7440 (or 7433 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 142411300 is about 11933.6205738242. The cubic root of 142411300 is about 522.2135667462.

Adding to 142411300 its reverse (3114241), we get a palindrome (145525541).

The spelling of 142411300 in words is "one hundred forty-two million, four hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 394 788 985 1970 3940 4925 7229 9850 14458 19700 28916 36145 72290 144580 180725 361450 722900 1424113 2848226 5696452 7120565 14241130 28482260 35602825 71205650 142411300