Search a number
-
+
195903036 = 22347175081
BaseRepresentation
bin10111010110100…
…11111000111100
3111122121220110000
423223103320330
5400122344121
631234514300
74566101610
oct1353237074
9448556400
10195903036
11a064493a
1255735990
1331781574
141c037340
15122ea526
hexbad3e3c

195903036 has 120 divisors (see below), whose sum is σ = 619841376. Its totient is φ = 52669440.

The previous prime is 195903011. The next prime is 195903041. The reversal of 195903036 is 630309591.

195903036 is a `hidden beast` number, since 1 + 9 + 590 + 30 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36016 + ... + 41096.

Almost surely, 2195903036 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 195903036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309920688).

195903036 is an abundant number, since it is smaller than the sum of its proper divisors (423938340).

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

195903036 is a wasteful number, since it uses less digits than its factorization.

195903036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 195903036 is about 13996.5365715951. The cubic root of 195903036 is about 580.7827679130.

The spelling of 195903036 in words is "one hundred ninety-five million, nine hundred three thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 567 612 714 756 918 1071 1134 1377 1428 1836 2142 2268 2754 3213 4284 5081 5508 6426 9639 10162 12852 15243 19278 20324 30486 35567 38556 45729 60972 71134 86377 91458 106701 137187 142268 172754 182916 213402 259131 274374 320103 345508 411561 426804 518262 548748 604639 640206 777393 823122 960309 1036524 1209278 1280412 1554786 1646244 1813917 1920618 2332179 2418556 2880927 3109572 3627834 3841236 4664358 5441751 5761854 6996537 7255668 9328716 10883502 11523708 13993074 16325253 21767004 27986148 32650506 48975759 65301012 97951518 195903036