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142000200 = 23325278889
BaseRepresentation
bin10000111011011…
…00000001001000
3100220012100122200
420131230001020
5242323001300
622031320200
73342660516
oct1035540110
9326170580
10142000200
1173178941
123b680060
132355a8b4
1414c054b6
15c6ee200
hex876c048

142000200 has 72 divisors (see below), whose sum is σ = 476890050. Its totient is φ = 37866240.

The previous prime is 142000169. The next prime is 142000241. The reversal of 142000200 is 2000241.

It can be written as a sum of positive squares in 3 ways, for example, as 55621764 + 86378436 = 7458^2 + 9294^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37645 + ... + 41244.

Almost surely, 2142000200 is an apocalyptic number.

142000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142000200 is an abundant number, since it is smaller than the sum of its proper divisors (334889850).

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

142000200 is a wasteful number, since it uses less digits than its factorization.

142000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78911 (or 78899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 142000200 is about 11916.3836796236. The cubic root of 142000200 is about 521.7105895619.

Adding to 142000200 its reverse (2000241), we get a palindrome (144000441).

The spelling of 142000200 in words is "one hundred forty-two million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 78889 157778 236667 315556 394445 473334 631112 710001 788890 946668 1183335 1420002 1577780 1893336 1972225 2366670 2840004 3155560 3550005 3944450 4733340 5680008 5916675 7100010 7888900 9466680 11833350 14200020 15777800 17750025 23666700 28400040 35500050 47333400 71000100 142000200