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142864200 = 233252139571
BaseRepresentation
bin10001000001111…
…10111101001000
3100221211020211200
420200332331020
5243033123300
622102024200
73353216463
oct1040767510
9327736750
10142864200
1173708a96
123ba18060
13237a0c3b
1414d8c2da
15c820200
hex883ef48

142864200 has 144 divisors (see below), whose sum is σ = 484083600. Its totient is φ = 37756800.

The previous prime is 142864187. The next prime is 142864231. The reversal of 142864200 is 2468241.

142864200 is a `hidden beast` number, since 14 + 2 + 8 + 642 + 0 + 0 = 666.

142864200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 249915 + ... + 250485.

Almost surely, 2142864200 is an apocalyptic number.

142864200 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 142864200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242041800).

142864200 is an abundant number, since it is smaller than the sum of its proper divisors (341219400).

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

142864200 is a wasteful number, since it uses less digits than its factorization.

142864200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 142864200 is about 11952.5813111645. The cubic root of 142864200 is about 522.7665665140.

The spelling of 142864200 in words is "one hundred forty-two million, eight hundred sixty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 139 150 180 200 225 278 300 360 417 450 556 571 600 695 834 900 1112 1142 1251 1390 1668 1713 1800 2085 2284 2502 2780 2855 3336 3426 3475 4170 4568 5004 5139 5560 5710 6255 6852 6950 8340 8565 10008 10278 10425 11420 12510 13704 13900 14275 16680 17130 20556 20850 22840 25020 25695 27800 28550 31275 34260 41112 41700 42825 50040 51390 57100 62550 68520 79369 83400 85650 102780 114200 125100 128475 158738 171300 205560 238107 250200 256950 317476 342600 396845 476214 513900 634952 714321 793690 952428 1027800 1190535 1428642 1587380 1904856 1984225 2381070 2857284 3174760 3571605 3968450 4762140 5714568 5952675 7143210 7936900 9524280 11905350 14286420 15873800 17858025 23810700 28572840 35716050 47621400 71432100 142864200