Search a number
-
+
142042200 = 23352236737
BaseRepresentation
bin10000111011101…
…10010001011000
3100220021111021020
420131312101120
5242330322300
622032242440
73343224126
oct1035662130
9326244236
10142042200
11731a7453
123b6a0420
1323573a51
1414c16916
15c70b8a0
hex8776458

142042200 has 48 divisors (see below), whose sum is σ = 440332680. Its totient is φ = 37877760.

The previous prime is 142042193. The next prime is 142042207. The reversal of 142042200 is 2240241.

It is an interprime number because it is at equal distance from previous prime (142042193) and next prime (142042207).

It is a super-3 number, since 3×1420422003 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 142042200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142042207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 117769 + ... + 118968.

Almost surely, 2142042200 is an apocalyptic number.

142042200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142042200 is an abundant number, since it is smaller than the sum of its proper divisors (298290480).

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

142042200 is a wasteful number, since it uses less digits than its factorization.

142042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236756 (or 236747 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 142042200 is about 11918.1458289450. The cubic root of 142042200 is about 521.7620206745.

Adding to 142042200 its reverse (2240241), we get a palindrome (144282441).

The spelling of 142042200 in words is "one hundred forty-two million, forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 236737 473474 710211 946948 1183685 1420422 1893896 2367370 2840844 3551055 4734740 5681688 5918425 7102110 9469480 11836850 14204220 17755275 23673700 28408440 35510550 47347400 71021100 142042200