Search a number
-
+
1142770200 = 23352111319701
BaseRepresentation
bin100010000011101…
…0100101000011000
32221122022202000020
41010013110220120
54320022121300
6305221310440
740214246355
oct10407245030
92848282006
101142770200
11537078190
1227a865420
131529a73b0
14abab362c
156a4d38a0
hex441d4a18

1142770200 has 384 divisors, whose sum is σ = 4387219200. Its totient is φ = 241920000.

The previous prime is 1142770147. The next prime is 1142770217. The reversal of 1142770200 is 20772411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1629850 + ... + 1630550.

It is an arithmetic number, because the mean of its divisors is an integer number (11425050).

Almost surely, 21142770200 is an apocalyptic number.

1142770200 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 1142770200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193609600).

1142770200 is an abundant number, since it is smaller than the sum of its proper divisors (3244449000).

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

1142770200 is a wasteful number, since it uses less digits than its factorization.

1142770200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 1142770200 is about 33804.8842624849. The cubic root of 1142770200 is about 1045.4894039359.

The spelling of 1142770200 in words is "one billion, one hundred forty-two million, seven hundred seventy thousand, two hundred".