Search a number
-
+
195190520 = 23572531879
BaseRepresentation
bin10111010001001…
…01111011111000
3111121021201001112
423220211323320
5344432044040
631211335452
74560043400
oct1350457370
9447251045
10195190520
11a01a8588
1255451588
1331592165
141bccd800
1512209365
hexba25ef8

195190520 has 96 divisors (see below), whose sum is σ = 520797600. Its totient is φ = 65624832.

The previous prime is 195190517. The next prime is 195190529. The reversal of 195190520 is 25091591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195190529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102941 + ... + 104819.

It is an arithmetic number, because the mean of its divisors is an integer number (5424975).

Almost surely, 2195190520 is an apocalyptic number.

195190520 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 195190520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260398800).

195190520 is an abundant number, since it is smaller than the sum of its proper divisors (325607080).

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

195190520 is a wasteful number, since it uses less digits than its factorization.

195190520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 32.

The square root of 195190520 is about 13971.0600886261. The cubic root of 195190520 is about 580.0777937666.

The spelling of 195190520 in words is "one hundred ninety-five million, one hundred ninety thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 53 56 70 98 106 140 196 212 245 265 280 371 392 424 490 530 742 980 1060 1484 1855 1879 1960 2120 2597 2968 3710 3758 5194 7420 7516 9395 10388 12985 13153 14840 15032 18790 20776 25970 26306 37580 51940 52612 65765 75160 92071 99587 103880 105224 131530 184142 199174 263060 368284 398348 460355 497935 526120 697109 736568 796696 920710 995870 1394218 1841420 1991740 2788436 3485545 3682840 3983480 4879763 5576872 6971090 9759526 13942180 19519052 24398815 27884360 39038104 48797630 97595260 195190520