[go: up one dir, main page]

Search a number
-
+
142627400 = 2352739769
BaseRepresentation
bin10001000000001…
…01001001001000
3100221101020000022
420200011021020
5243003034100
622053000012
73351212216
oct1040051110
9327336008
10142627400
1173567093
123b923008
132371a216
1414d29cb6
15c7c4e85
hex8805248

142627400 has 48 divisors (see below), whose sum is σ = 336185700. Its totient is φ = 56263680.

The previous prime is 142627391. The next prime is 142627417. The reversal of 142627400 is 4726241.

It can be written as a sum of positive squares in 6 ways, for example, as 45131524 + 97495876 = 6718^2 + 9874^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 142627400.

It is an unprimeable number.

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, 9716 + ... + 19484.

Almost surely, 2142627400 is an apocalyptic number.

142627400 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 142627400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168092850).

142627400 is an abundant number, since it is smaller than the sum of its proper divisors (193558300).

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

142627400 is a wasteful number, since it uses less digits than its factorization.

142627400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9858 (or 9849 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 142627400 is about 11942.6713929506. The cubic root of 142627400 is about 522.4775751004.

The spelling of 142627400 in words is "one hundred forty-two million, six hundred twenty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 9769 14600 19538 39076 48845 78152 97690 195380 244225 390760 488450 713137 976900 1426274 1953800 2852548 3565685 5705096 7131370 14262740 17828425 28525480 35656850 71313700 142627400