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195730368 = 26323127349
BaseRepresentation
bin10111010101010…
…01101111000000
3111122022010120220
423222221233000
5400101332433
631231103040
74564452321
oct1352515700
9448263526
10195730368
11a0537139
1255671a80
1331720ab2
141bdd0448
15122b42b3
hexbaa9bc0

195730368 has 112 divisors (see below), whose sum is σ = 546201600. Its totient is φ = 61737984.

The previous prime is 195730363. The next prime is 195730397. The reversal of 195730368 is 863037591.

195730368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195730361) 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, 560658 + ... + 561006.

It is an arithmetic number, because the mean of its divisors is an integer number (4876800).

Almost surely, 2195730368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273100800).

195730368 is an abundant number, since it is smaller than the sum of its proper divisors (350471232).

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

195730368 is a wasteful number, since it uses less digits than its factorization.

195730368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 195730368 is about 13990.3669715987. The cubic root of 195730368 is about 580.6120847044.

The spelling of 195730368 in words is "one hundred ninety-five million, seven hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 127 138 184 192 254 276 349 368 381 508 552 698 736 762 1016 1047 1104 1396 1472 1524 2032 2094 2208 2792 2921 3048 4064 4188 4416 5584 5842 6096 8027 8128 8376 8763 11168 11684 12192 16054 16752 17526 22336 23368 24081 24384 32108 33504 35052 44323 46736 48162 64216 67008 70104 88646 93472 96324 128432 132969 140208 177292 186944 192648 256864 265938 280416 354584 385296 513728 531876 560832 709168 770592 1019429 1063752 1418336 1541184 2038858 2127504 2836672 3058287 4077716 4255008 6116574 8155432 8510016 12233148 16310864 24466296 32621728 48932592 65243456 97865184 195730368