Search a number
-
+
142857300 = 223523115361
BaseRepresentation
bin10001000001111…
…01010001010100
3100221210220101010
420200331101110
5243032413200
622101532220
73353160405
oct1040752124
9327726333
10142857300
1173703893
123ba14070
132379aa61
1414d899ac
15c81d150
hex883d454

142857300 has 72 divisors (see below), whose sum is σ = 426694912. Its totient is φ = 36864000.

The previous prime is 142857293. The next prime is 142857317. The reversal of 142857300 is 3758241.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1620 + ... + 16980.

Almost surely, 2142857300 is an apocalyptic number.

142857300 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 142857300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213347456).

142857300 is an abundant number, since it is smaller than the sum of its proper divisors (283837612).

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

142857300 is a wasteful number, since it uses less digits than its factorization.

142857300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15409 (or 15402 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 142857300 is about 11952.2926670995. The cubic root of 142857300 is about 522.7581502526.

The spelling of 142857300 in words is "one hundred forty-two million, eight hundred fifty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 15361 30722 46083 61444 76805 92166 153610 184332 230415 307220 384025 460830 476191 768050 921660 952382 1152075 1428573 1536100 1904764 2304150 2380955 2857146 4608300 4761910 5714292 7142865 9523820 11904775 14285730 23809550 28571460 35714325 47619100 71428650 142857300