Search a number
-
+
1142031400 = 235223092473
BaseRepresentation
bin100010000010010…
…0000010000101000
32221120221012120021
41010010200100220
54314330001100
6305153410224
740205051416
oct10404402050
92846835507
101142031400
11536713104
1227a569974
131527a9033
14ab9602b6
156a3d9a1a
hex44120428

1142031400 has 48 divisors (see below), whose sum is σ = 2657447100. Its totient is φ = 456430080.

The previous prime is 1142031383. The next prime is 1142031409. The reversal of 1142031400 is 41302411.

1142031400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 760766724 + 381264676 = 27582^2 + 19526^2 .

It is not an unprimeable number, because it can be changed into a prime (1142031409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 460564 + ... + 463036.

Almost surely, 21142031400 is an apocalyptic number.

1142031400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142031400 is an abundant number, since it is smaller than the sum of its proper divisors (1515415700).

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

1142031400 is a wasteful number, since it uses less digits than its factorization.

1142031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798 (or 4789 counting only the distinct ones).

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

The square root of 1142031400 is about 33793.9550807537. The cubic root of 1142031400 is about 1045.2640526842.

Adding to 1142031400 its reverse (41302411), we get a palindrome (1183333811).

The spelling of 1142031400 in words is "one billion, one hundred forty-two million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2309 2473 4618 4946 9236 9892 11545 12365 18472 19784 23090 24730 46180 49460 57725 61825 92360 98920 115450 123650 230900 247300 461800 494600 5710157 11420314 22840628 28550785 45681256 57101570 114203140 142753925 228406280 285507850 571015700 1142031400