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142800450 = 235213671093
BaseRepresentation
bin10001000001011…
…11011001000010
3100221201000101120
420200233121002
5243024103300
622100413110
73352532562
oct1040573102
9327630346
10142800450
1173675101
123b9a7196
132377ac10
1414d72da2
15c80b3a0
hex882f642

142800450 has 96 divisors (see below), whose sum is σ = 387433536. Its totient is φ = 34594560.

The previous prime is 142800431. The next prime is 142800467. The reversal of 142800450 is 54008241.

It is a self number, because there is not a number n which added to its sum of digits gives 142800450.

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 47 ways as a sum of consecutive naturals, for example, 130104 + ... + 131196.

It is an arithmetic number, because the mean of its divisors is an integer number (4035766).

Almost surely, 2142800450 is an apocalyptic number.

142800450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142800450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193716768).

142800450 is an abundant number, since it is smaller than the sum of its proper divisors (244633086).

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

142800450 is a wasteful number, since it uses less digits than its factorization.

142800450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 142800450 is about 11949.9142256336. The cubic root of 142800450 is about 522.6887972597.

Adding to 142800450 its reverse (54008241), we get a palindrome (196808691).

The spelling of 142800450 in words is "one hundred forty-two million, eight hundred thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 67 75 78 130 134 150 195 201 325 335 390 402 650 670 871 975 1005 1093 1675 1742 1950 2010 2186 2613 3279 3350 4355 5025 5226 5465 6558 8710 10050 10930 13065 14209 16395 21775 26130 27325 28418 32790 42627 43550 54650 65325 71045 73231 81975 85254 130650 142090 146462 163950 213135 219693 355225 366155 426270 439386 710450 732310 952003 1065675 1098465 1830775 1904006 2131350 2196930 2856009 3661550 4760015 5492325 5712018 9520030 10984650 14280045 23800075 28560090 47600150 71400225 142800450