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189412128 = 2533415347
BaseRepresentation
bin10110100101000…
…11001100100000
3111012102010121000
423102203030200
5341442142003
630443432000
74456655643
oct1322431440
9435363530
10189412128
1197a11154
1253525600
133031aca9
141b227a5a
15119671a3
hexb4a3320

189412128 has 96 divisors (see below), whose sum is σ = 566032320. Its totient is φ = 61585920.

The previous prime is 189412127. The next prime is 189412133. The reversal of 189412128 is 821214981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 189412092 and 189412101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189412123) 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 15 ways as a sum of consecutive naturals, for example, 32751 + ... + 38097.

It is an arithmetic number, because the mean of its divisors is an integer number (5896170).

Almost surely, 2189412128 is an apocalyptic number.

189412128 is a gapful number since it is divisible by the number (18) 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 189412128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283016160).

189412128 is an abundant number, since it is smaller than the sum of its proper divisors (376620192).

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

189412128 is a wasteful number, since it uses less digits than its factorization.

189412128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5393 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 189412128 is about 13762.7078730895. The cubic root of 189412128 is about 574.2961803140.

The spelling of 189412128 in words is "one hundred eighty-nine million, four hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3936 4428 5347 5904 8856 10694 11808 16041 17712 21388 32082 35424 42776 48123 64164 85552 96246 128328 144369 171104 192492 219227 256656 288738 384984 438454 513312 577476 657681 769968 876908 1154952 1315362 1539936 1753816 1973043 2309904 2630724 3507632 3946086 4619808 5261448 5919129 7015264 7892172 10522896 11838258 15784344 21045792 23676516 31568688 47353032 63137376 94706064 189412128