Search a number
-
+
142301000 = 2353232269
BaseRepresentation
bin10000111101101…
…01011101001000
3100220202122021102
420132311131020
5242412113000
622042000532
73345352502
oct1036653510
9326678242
10142301000
1173363936
123b7a6148
132363479a
1414c82d72
15c75d3d5
hex87b5748

142301000 has 96 divisors (see below), whose sum is σ = 349385400. Its totient is φ = 54243200.

The previous prime is 142300997. The next prime is 142301009. The reversal of 142301000 is 103241.

It is a happy number.

142301000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13205956 + 129095044 = 3634^2 + 11362^2 .

It is not an unprimeable number, because it can be changed into a prime (142301009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528866 + ... + 529134.

Almost surely, 2142301000 is an apocalyptic number.

142301000 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 142301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174692700).

142301000 is an abundant number, since it is smaller than the sum of its proper divisors (207084400).

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

142301000 is a wasteful number, since it uses less digits than its factorization.

142301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 142301000 is about 11928.9982814987. The cubic root of 142301000 is about 522.0787107959.

Adding to 142301000 its reverse (103241), we get a palindrome (142404241).

The spelling of 142301000 in words is "one hundred forty-two million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 269 460 500 529 538 575 920 1000 1058 1076 1150 1345 2116 2152 2300 2645 2690 2875 4232 4600 5290 5380 5750 6187 6725 10580 10760 11500 12374 13225 13450 21160 23000 24748 26450 26900 30935 33625 49496 52900 53800 61870 66125 67250 105800 123740 132250 134500 142301 154675 247480 264500 269000 284602 309350 529000 569204 618700 711505 773375 1138408 1237400 1423010 1546750 2846020 3093500 3557525 5692040 6187000 7115050 14230100 17787625 28460200 35575250 71150500 142301000