Search a number
-
+
2060189568 = 27323157689
BaseRepresentation
bin111101011001011…
…1111111110000000
312022120121110210100
41322302333332000
513204402031233
6540233002400
7102024215403
oct17262777600
95276543710
102060189568
11967a17a08
12495b53400
1326aa8c6a8
14157885d3a
15c0d01813
hex7acbff80

2060189568 has 96 divisors (see below), whose sum is σ = 6119755200. Its totient is φ = 664565760.

The previous prime is 2060189567. The next prime is 2060189629. The reversal of 2060189568 is 8659810602.

2060189568 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 1 + 89 + 568 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2060189567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6868 + ... + 64556.

It is an arithmetic number, because the mean of its divisors is an integer number (63747450).

Almost surely, 22060189568 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 2060189568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059877600).

2060189568 is an abundant number, since it is smaller than the sum of its proper divisors (4059565632).

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

2060189568 is a wasteful number, since it uses less digits than its factorization.

2060189568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57740 (or 57725 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2060189568 is about 45389.3111646343. The cubic root of 2060189568 is about 1272.4353559023.

The spelling of 2060189568 in words is "two billion, sixty million, one hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2976 3968 4464 5952 8928 11904 17856 35712 57689 115378 173067 230756 346134 461512 519201 692268 923024 1038402 1384536 1788359 1846048 2076804 2769072 3576718 3692096 4153608 5365077 5538144 7153436 7384192 8307216 10730154 11076288 14306872 16095231 16614432 21460308 22152576 28613744 32190462 33228864 42920616 57227488 64380924 66457728 85841232 114454976 128761848 171682464 228909952 257523696 343364928 515047392 686729856 1030094784 2060189568