Search a number
-
+
195701856 = 2537417103
BaseRepresentation
bin10111010101000…
…10110001100000
3111122020200110220
423222202301200
5400044424411
631230323040
74564303230
oct1352426140
9448220426
10195701856
11a0517779
1255659480
1331710b1c
141bdc3cc0
15122aab06
hexbaa2c60

195701856 has 96 divisors (see below), whose sum is σ = 601509888. Its totient is φ = 54543360.

The previous prime is 195701851. The next prime is 195701861. The reversal of 195701856 is 658107591.

195701856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (195701851) and next prime (195701861).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195701851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24001 + ... + 31103.

It is an arithmetic number, because the mean of its divisors is an integer number (6265728).

Almost surely, 2195701856 is an apocalyptic number.

195701856 is a gapful number since it is divisible by the number (16) 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 195701856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300754944).

195701856 is an abundant number, since it is smaller than the sum of its proper divisors (405808032).

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

195701856 is a wasteful number, since it uses less digits than its factorization.

195701856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7164 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The square root of 195701856 is about 13989.3479476350. The cubic root of 195701856 is about 580.5838907902.

The spelling of 195701856 in words is "one hundred ninety-five million, seven hundred one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2296 3444 3936 4592 6888 7103 9184 13776 14206 21309 27552 28412 42618 49721 56824 85236 99442 113648 149163 170472 198884 227296 291223 298326 340944 397768 582446 596652 681888 795536 873669 1164892 1193304 1591072 1747338 2038561 2329784 2386608 3494676 4077122 4659568 4773216 6115683 6989352 8154244 9319136 12231366 13978704 16308488 24462732 27957408 32616976 48925464 65233952 97850928 195701856