Search a number
-
+
96001200 = 2434522963
BaseRepresentation
bin1011011100011…
…01110010110000
320200122100220000
411232031302300
5144034014300
613305350000
72243665611
oct556156260
9220570800
1096001200
114a210139
1228198300
1316b73659
14ca6dc08
158664c00
hex5b8dcb0

96001200 has 150 divisors (see below), whose sum is σ = 344656884. Its totient is φ = 25591680.

The previous prime is 96001187. The next prime is 96001211. The reversal of 96001200 is 210069.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30919 + ... + 33881.

Almost surely, 296001200 is an apocalyptic number.

96001200 is a gapful number since it is divisible by the number (90) 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 96001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172328442).

96001200 is an abundant number, since it is smaller than the sum of its proper divisors (248655684).

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

96001200 is a wasteful number, since it uses less digits than its factorization.

96001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 96001200 is about 9798.0202081849. The cubic root of 96001200 is about 457.8876048705.

Adding to 96001200 its reverse (210069), we get a palindrome (96211269).

The spelling of 96001200 in words is "ninety-six million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 135 144 150 162 180 200 216 225 240 270 300 324 360 400 405 432 450 540 600 648 675 720 810 900 1080 1200 1296 1350 1620 1800 2025 2160 2700 2963 3240 3600 4050 5400 5926 6480 8100 8889 10800 11852 14815 16200 17778 23704 26667 29630 32400 35556 44445 47408 53334 59260 71112 74075 80001 88890 106668 118520 133335 142224 148150 160002 177780 213336 222225 237040 240003 266670 296300 320004 355560 400005 426672 444450 480006 533340 592600 640008 666675 711120 800010 888900 960012 1066680 1185200 1200015 1280016 1333350 1600020 1777800 1920024 2000025 2133360 2400030 2666700 3200040 3555600 3840048 4000050 4800060 5333400 6000075 6400080 8000100 9600120 10666800 12000150 16000200 19200240 24000300 32000400 48000600 96001200