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199105764 = 2231113294001
BaseRepresentation
bin10111101111000…
…01110011100100
3111212122121202120
423313201303210
5401432341024
631431305540
74635241164
oct1367416344
9455577676
10199105764
11a2432120
125681b2b0
1332333280
141c62c5a4
151272e479
hexbde1ce4

199105764 has 96 divisors (see below), whose sum is σ = 564762240. Its totient is φ = 53760000.

The previous prime is 199105763. The next prime is 199105783. The reversal of 199105764 is 467501991.

It is not an unprimeable number, because it can be changed into a prime (199105763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47764 + ... + 51764.

It is an arithmetic number, because the mean of its divisors is an integer number (5882940).

Almost surely, 2199105764 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 199105764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282381120).

199105764 is an abundant number, since it is smaller than the sum of its proper divisors (365656476).

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

199105764 is a wasteful number, since it uses less digits than its factorization.

199105764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 199105764 is about 14110.4841872985. The cubic root of 199105764 is about 583.9306580896.

The spelling of 199105764 in words is "one hundred ninety-nine million, one hundred five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 29 33 39 44 52 58 66 78 87 116 132 143 156 174 286 319 348 377 429 572 638 754 858 957 1131 1276 1508 1716 1914 2262 3828 4001 4147 4524 8002 8294 12003 12441 16004 16588 24006 24882 44011 48012 49764 52013 88022 104026 116029 132033 156039 176044 208052 232058 264066 312078 348087 464116 528132 572143 624156 696174 1144286 1276319 1392348 1508377 1716429 2288572 2552638 3016754 3432858 3828957 4525131 5105276 6033508 6865716 7657914 9050262 15315828 16592147 18100524 33184294 49776441 66368588 99552882 199105764