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195169104 = 243213137761
BaseRepresentation
bin10111010001000…
…00101101010000
3111121020121200100
423220200231100
5344430402404
631211052400
74556624064
oct1350405520
9447217610
10195169104
11a0193489
1255441100
13315854a0
141bcc5aa4
1512202d39
hexba20b50

195169104 has 120 divisors (see below), whose sum is σ = 593290152. Its totient is φ = 59535360.

The previous prime is 195169103. The next prime is 195169123. The reversal of 195169104 is 401961591.

It can be written as a sum of positive squares in 4 ways, for example, as 3069504 + 192099600 = 1752^2 + 13860^2 .

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195169103) 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 23 ways as a sum of consecutive naturals, for example, 256084 + ... + 256844.

Almost surely, 2195169104 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 195169104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296645076).

195169104 is an abundant number, since it is smaller than the sum of its proper divisors (398121048).

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

195169104 is a wasteful number, since it uses less digits than its factorization.

195169104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 195169104 is about 13970.2936261197. The cubic root of 195169104 is about 580.0565779132.

The spelling of 195169104 in words is "one hundred ninety-five million, one hundred sixty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 137 144 156 208 234 274 312 411 468 548 624 761 822 936 1096 1233 1522 1644 1781 1872 2192 2283 2466 3044 3288 3562 4566 4932 5343 6088 6576 6849 7124 9132 9864 9893 10686 12176 13698 14248 16029 18264 19728 19786 21372 27396 28496 29679 32058 36528 39572 42744 54792 59358 64116 79144 85488 89037 104257 109584 118716 128232 158288 178074 208514 237432 256464 312771 356148 417028 474864 625542 712296 834056 938313 1251084 1355341 1424592 1668112 1876626 2502168 2710682 3753252 4066023 5004336 5421364 7506504 8132046 10842728 12198069 15013008 16264092 21685456 24396138 32528184 48792276 65056368 97584552 195169104