Search a number
-
+
195748080 = 243511531399
BaseRepresentation
bin10111010101011…
…10000011110000
3111122100000212220
423222232003300
5400102414310
631231321040
74564555053
oct1352560360
9448300786
10195748080
11a0549480
1255680180
1331728b88
141bdd6a9a
15122b9670
hexbaae0f0

195748080 has 160 divisors (see below), whose sum is σ = 674956800. Its totient is φ = 46525440.

The previous prime is 195748079. The next prime is 195748097. The reversal of 195748080 is 80847591.

195748080 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 139912-1.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 139221 + ... + 140619.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2195748080 is an apocalyptic number.

195748080 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 195748080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337478400).

195748080 is an abundant number, since it is smaller than the sum of its proper divisors (479208720).

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

195748080 is a wasteful number, since it uses less digits than its factorization.

195748080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 195748080 is about 13990.9999642627. Note that the first 4 decimals coincide. The cubic root of 195748080 is about 580.6295977270.

The spelling of 195748080 in words is "one hundred ninety-five million, seven hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 53 55 60 66 80 88 106 110 120 132 159 165 176 212 220 240 264 265 318 330 424 440 528 530 583 636 660 795 848 880 1060 1166 1272 1320 1399 1590 1749 2120 2332 2544 2640 2798 2915 3180 3498 4197 4240 4664 5596 5830 6360 6995 6996 8394 8745 9328 11192 11660 12720 13990 13992 15389 16788 17490 20985 22384 23320 27980 27984 30778 33576 34980 41970 46167 46640 55960 61556 67152 69960 74147 76945 83940 92334 111920 123112 139920 148294 153890 167880 184668 222441 230835 246224 296588 307780 335760 369336 370735 444882 461670 593176 615560 738672 741470 815617 889764 923340 1112205 1186352 1231120 1482940 1631234 1779528 1846680 2224410 2446851 2965880 3262468 3559056 3693360 4078085 4448820 4893702 5931760 6524936 8156170 8897640 9787404 12234255 13049872 16312340 17795280 19574808 24468510 32624680 39149616 48937020 65249360 97874040 195748080