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195190128 = 2433729221
BaseRepresentation
bin10111010001001…
…01110101110000
3111121021200112000
423220211311300
5344432041003
631211334000
74560042300
oct1350456560
9447250460
10195190128
11a01a8261
1255451300
1331591c23
141bccd600
15122091a3
hexba25d70

195190128 has 120 divisors (see below), whose sum is σ = 651810960. Its totient is φ = 55762560.

The previous prime is 195190117. The next prime is 195190129. The reversal of 195190128 is 821091591.

195190128 is a `hidden beast` number, since 19 + 519 + 0 + 128 = 666.

195190128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 195190092 and 195190101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195190129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16558 + ... + 25778.

It is an arithmetic number, because the mean of its divisors is an integer number (5431758).

Almost surely, 2195190128 is an apocalyptic number.

195190128 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 195190128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325905480).

195190128 is an abundant number, since it is smaller than the sum of its proper divisors (456620832).

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

195190128 is a wasteful number, since it uses less digits than its factorization.

195190128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9252 (or 9233 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 195190128 is about 13971.0460596192. The cubic root of 195190128 is about 580.0774054441.

The spelling of 195190128 in words is "one hundred ninety-five million, one hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 9221 10584 18442 21168 27663 36884 55326 64547 73768 82989 110652 129094 147536 165978 193641 221304 248967 258188 331956 387282 442608 451829 497934 516376 580923 663912 774564 903658 995868 1032752 1161846 1327824 1355487 1549128 1742769 1807316 1991736 2323692 2710974 3098256 3485538 3614632 3983472 4066461 4647384 5421948 6971076 7229264 8132922 9294768 10843896 12199383 13942152 16265844 21687792 24398766 27884304 32531688 48797532 65063376 97595064 195190128