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195583128 = 233134211489
BaseRepresentation
bin10111010100001…
…01110010011000
3111122000122121120
423222011302120
5400032130003
631224005240
74563300126
oct1352056230
9448018546
10195583128
11a0446554
1255600820
133169ba80
141bd92916
1512285853
hexba85c98

195583128 has 64 divisors (see below), whose sum is σ = 528175200. Its totient is φ = 59996160.

The previous prime is 195583111. The next prime is 195583153. The reversal of 195583128 is 821385591.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 195583128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130608 + ... + 132096.

Almost surely, 2195583128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195583128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264087600).

195583128 is an abundant number, since it is smaller than the sum of its proper divisors (332592072).

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

195583128 is a wasteful number, since it uses less digits than its factorization.

195583128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1928 counting only the distinct ones).

The product of its digits is 86400, while the sum is 42.

The square root of 195583128 is about 13985.1037893896. The cubic root of 195583128 is about 580.4664578915.

The spelling of 195583128 in words is "one hundred ninety-five million, five hundred eighty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 421 842 1263 1489 1684 2526 2978 3368 4467 5052 5473 5956 8934 10104 10946 11912 16419 17868 19357 21892 32838 35736 38714 43784 58071 65676 77428 116142 131352 154856 232284 464568 626869 1253738 1880607 2507476 3761214 5014952 7522428 8149297 15044856 16298594 24447891 32597188 48895782 65194376 97791564 195583128