Search a number
-
+
195638814 = 236729661
BaseRepresentation
bin10111010100100…
…11011000011110
3111122010111000000
423222103120132
5400040420224
631225115130
74563621360
oct1352233036
9448114000
10195638814
11a0484378
1255628aa6
13316bb217
141bda8d30
15122970c9
hexba9361e

195638814 has 112 divisors (see below), whose sum is σ = 520967520. Its totient is φ = 53887680.

The previous prime is 195638803. The next prime is 195638819. The reversal of 195638814 is 418836591.

195638814 is a `hidden beast` number, since 1 + 9 + 5 + 638 + 8 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 195638814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195638819) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 295644 + ... + 296304.

Almost surely, 2195638814 is an apocalyptic number.

195638814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 195638814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260483760).

195638814 is an abundant number, since it is smaller than the sum of its proper divisors (325328706).

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

195638814 is an equidigital number, since it uses as much as digits as its factorization.

195638814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 702 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 195638814 is about 13987.0945517645. The cubic root of 195638814 is about 580.5215423770.

The spelling of 195638814 in words is "one hundred ninety-five million, six hundred thirty-eight thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 243 261 378 406 486 522 567 609 661 729 783 1134 1218 1322 1458 1566 1701 1827 1983 2349 3402 3654 3966 4627 4698 5103 5481 5949 7047 9254 10206 10962 11898 13881 14094 16443 17847 19169 21141 27762 32886 35694 38338 41643 42282 49329 53541 57507 83286 98658 107082 115014 124929 134183 147987 160623 172521 249858 268366 295974 321246 345042 374787 402549 481869 517563 749574 805098 963738 1035126 1124361 1207647 1552689 2248722 2415294 3105378 3373083 3622941 4658067 6746166 7245882 9316134 10868823 13974201 21737646 27948402 32606469 65212938 97819407 195638814