Search a number
-
+
195982680 = 233597113149
BaseRepresentation
bin10111010111001…
…11010101011000
3111122202221200210
423223213111120
5400132421210
631240331120
74566553035
oct1353472530
9448687623
10195982680
11a0699763
1255773aa0
13317ab8aa
141c05838c
1512313e20
hexbae7558

195982680 has 128 divisors (see below), whose sum is σ = 603288000. Its totient is φ = 50921472.

The previous prime is 195982669. The next prime is 195982693. The reversal of 195982680 is 86289591.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315246 + ... + 1315394.

Almost surely, 2195982680 is an apocalyptic number.

195982680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195982680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301644000).

195982680 is an abundant number, since it is smaller than the sum of its proper divisors (407305320).

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

195982680 is a wasteful number, since it uses less digits than its factorization.

195982680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 195982680 is about 13999.3814149054. The cubic root of 195982680 is about 580.8614626195.

The spelling of 195982680 in words is "one hundred ninety-five million, nine hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 113 120 149 194 226 291 298 339 388 447 452 485 565 582 596 678 745 776 894 904 970 1130 1164 1192 1356 1455 1490 1695 1788 1940 2235 2260 2328 2712 2910 2980 3390 3576 3880 4470 4520 5820 5960 6780 8940 10961 11640 13560 14453 16837 17880 21922 28906 32883 33674 43359 43844 50511 54805 57812 65766 67348 72265 84185 86718 87688 101022 109610 115624 131532 134696 144530 164415 168370 173436 202044 216795 219220 252555 263064 289060 328830 336740 346872 404088 433590 438440 505110 578120 657660 673480 867180 1010220 1315320 1633189 1734360 2020440 3266378 4899567 6532756 8165945 9799134 13065512 16331890 19598268 24497835 32663780 39196536 48995670 65327560 97991340 195982680