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150200000 = 2655751
BaseRepresentation
bin10001111001111…
…01111011000000
3101110121221122222
420330331323000
5301422400000
622523150212
73502451606
oct1074757300
9343557588
10150200000
1177869535
1242375368
132516bc52
1415d3b876
15d2bda85
hex8f3dec0

150200000 has 84 divisors (see below), whose sum is σ = 373038624. Its totient is φ = 60000000.

The previous prime is 150199999. The next prime is 150200009. The reversal of 150200000 is 2051.

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

It is not an unprimeable number, because it can be changed into a prime (150200009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199625 + ... + 200375.

It is an arithmetic number, because the mean of its divisors is an integer number (4440936).

Almost surely, 2150200000 is an apocalyptic number.

150200000 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 150200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186519312).

150200000 is an abundant number, since it is smaller than the sum of its proper divisors (222838624).

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

150200000 is an frugal number, since it uses more digits than its factorization.

150200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 150200000 is about 12255.6109598828. The cubic root of 150200000 is about 531.5653260638.

Adding to 150200000 its reverse (2051), we get a palindrome (150202051).

The spelling of 150200000 in words is "one hundred fifty million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 751 800 1000 1250 1502 1600 2000 2500 3004 3125 3755 4000 5000 6008 6250 7510 8000 10000 12016 12500 15020 18775 20000 24032 25000 30040 37550 40000 48064 50000 60080 75100 93875 100000 120160 150200 187750 200000 240320 300400 375500 469375 600800 751000 938750 1201600 1502000 1877500 2346875 3004000 3755000 4693750 6008000 7510000 9387500 15020000 18775000 30040000 37550000 75100000 150200000