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189600912 = 2434146297
BaseRepresentation
bin10110100110100…
…01010010010000
3111012202201120000
423103101102100
5342014212122
630451450000
74461403224
oct1323212220
9435681500
10189600912
119802aa76
12535b6900
1330385bb7
141b276784
15119a30ac
hexb4d1490

189600912 has 50 divisors (see below), whose sum is σ = 548763798. Its totient is φ = 63199872.

The previous prime is 189600911. The next prime is 189600941. The reversal of 189600912 is 219006981.

It can be written as a sum of positive squares in only one way, i.e., 117418896 + 72182016 = 10836^2 + 8496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (189600911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 71853 + ... + 74444.

Almost surely, 2189600912 is an apocalyptic number.

189600912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

189600912 is an abundant number, since it is smaller than the sum of its proper divisors (359162886).

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

189600912 is a wasteful number, since it uses less digits than its factorization.

189600912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146317 (or 146302 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 189600912 is about 13769.5646990019. The cubic root of 189600912 is about 574.4869141945.

The spelling of 189600912 in words is "one hundred eighty-nine million, six hundred thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 146297 292594 438891 585188 877782 1170376 1316673 1755564 2340752 2633346 3511128 3950019 5266692 7022256 7900038 10533384 11850057 15800076 21066768 23700114 31600152 47400228 63200304 94800456 189600912