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195316506 = 232711223557
BaseRepresentation
bin10111010010001…
…00101100011010
3111121112002212200
423221010230122
5400000112011
631214151030
74561106610
oct1351045432
9447462780
10195316506
11a0284200
12554b2476
13316075c8
141bd236b0
1512231856
hexba44b1a

195316506 has 144 divisors (see below), whose sum is σ = 555714432. Its totient is φ = 48438720.

The previous prime is 195316493. The next prime is 195316507. The reversal of 195316506 is 605613591.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195316507) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 350380 + ... + 350936.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2195316506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195316506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277857216).

195316506 is an abundant number, since it is smaller than the sum of its proper divisors (360397926).

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

195316506 is a wasteful number, since it uses less digits than its factorization.

195316506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 195316506 is about 13975.5681816519. The cubic root of 195316506 is about 580.2025709382.

The spelling of 195316506 in words is "one hundred ninety-five million, three hundred sixteen thousand, five hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 23 33 42 46 63 66 69 77 99 121 126 138 154 161 198 207 231 242 253 322 363 414 462 483 506 557 693 726 759 847 966 1089 1114 1386 1449 1518 1671 1694 1771 2178 2277 2541 2783 2898 3342 3542 3899 4554 5013 5082 5313 5566 6127 7623 7798 8349 10026 10626 11697 12254 12811 15246 15939 16698 18381 19481 23394 25047 25622 31878 35091 36762 38433 38962 42889 50094 55143 58443 67397 70182 76866 85778 89677 110286 115299 116886 128667 134794 140921 175329 179354 202191 230598 257334 269031 281842 350658 386001 404382 422763 471779 538062 606573 772002 807093 845526 943558 986447 1213146 1268289 1415337 1550131 1614186 1972894 2536578 2830674 2959341 3100262 4246011 4650393 5918682 8492022 8878023 9300786 10850917 13951179 17756046 21701834 27902358 32552751 65105502 97658253 195316506