Search a number
-
+
142434500 = 225313171289
BaseRepresentation
bin10000111110101…
…10000011000100
3100221000102101212
420133112003010
5242430401000
622044510552
73346446635
oct1037260304
9327012355
10142434500
117344516a
123b84b458
1323680490
1414cb988c
15c787c35
hex87d60c4

142434500 has 96 divisors (see below), whose sum is σ = 354987360. Its totient is φ = 49459200.

The previous prime is 142434499. The next prime is 142434503. The reversal of 142434500 is 5434241.

It can be written as a sum of positive squares in 16 ways, for example, as 84309124 + 58125376 = 9182^2 + 7624^2 .

It is not an unprimeable number, because it can be changed into a prime (142434503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109856 + ... + 111144.

It is an arithmetic number, because the mean of its divisors is an integer number (3697785).

Almost surely, 2142434500 is an apocalyptic number.

142434500 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 142434500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177493680).

142434500 is an abundant number, since it is smaller than the sum of its proper divisors (212552860).

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

142434500 is a wasteful number, since it uses less digits than its factorization.

142434500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 142434500 is about 11934.5925778805. The cubic root of 142434500 is about 522.2419228689.

Adding to 142434500 its reverse (5434241), we get a palindrome (147868741).

The spelling of 142434500 in words is "one hundred forty-two million, four hundred thirty-four thousand, five hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 125 130 170 221 250 260 325 340 425 442 500 650 850 884 1105 1289 1300 1625 1700 2125 2210 2578 3250 4250 4420 5156 5525 6445 6500 8500 11050 12890 16757 21913 22100 25780 27625 32225 33514 43826 55250 64450 67028 83785 87652 109565 110500 128900 161125 167570 219130 284869 322250 335140 418925 438260 547825 569738 644500 837850 1095650 1139476 1424345 1675700 2094625 2191300 2739125 2848690 4189250 5478250 5697380 7121725 8378500 10956500 14243450 28486900 35608625 71217250 142434500