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141200000 = 2755353
BaseRepresentation
bin10000110101010…
…00101010000000
3100211200200222122
420122220222000
5242121400000
622002223412
73333115544
oct1032505200
9324620878
10141200000
1172781717
123b354b68
132333a5c6
1414a77a24
15c5e2085
hex86a8a80

141200000 has 96 divisors (see below), whose sum is σ = 352594620. Its totient is φ = 56320000.

The previous prime is 141199987. The next prime is 141200027. The reversal of 141200000 is 2141.

It can be written as a sum of positive squares in 6 ways, for example, as 21603904 + 119596096 = 4648^2 + 10936^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399824 + ... + 400176.

Almost surely, 2141200000 is an apocalyptic number.

141200000 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 141200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176297310).

141200000 is an abundant number, since it is smaller than the sum of its proper divisors (211394620).

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

141200000 is an frugal number, since it uses more digits than its factorization.

141200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 141200000 is about 11882.7606220104. The cubic root of 141200000 is about 520.7287612278.

Adding to 141200000 its reverse (2141), we get a palindrome (141202141).

The spelling of 141200000 in words is "one hundred forty-one million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 353 400 500 625 640 706 800 1000 1250 1412 1600 1765 2000 2500 2824 3125 3200 3530 4000 5000 5648 6250 7060 8000 8825 10000 11296 12500 14120 16000 17650 20000 22592 25000 28240 35300 40000 44125 45184 50000 56480 70600 80000 88250 100000 112960 141200 176500 200000 220625 225920 282400 353000 400000 441250 564800 706000 882500 1103125 1129600 1412000 1765000 2206250 2824000 3530000 4412500 5648000 7060000 8825000 14120000 17650000 28240000 35300000 70600000 141200000