Search a number
-
+
2032064568 = 233229237907
BaseRepresentation
bin111100100011110…
…1101100000111000
312020121200120112200
41321013231200320
513130202031233
6533350110200
7101233156332
oct17107554070
95217616480
102032064568
11953058206
1248864b360
13264cc2c91
14153c44452
15bd5e8313
hex791ed838

2032064568 has 144 divisors (see below), whose sum is σ = 5860331880. Its totient is φ = 635620608.

The previous prime is 2032064563. The next prime is 2032064569. The reversal of 2032064568 is 8654602302.

2032064568 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 0 + 645 + 6 + 8 = 666.

2032064568 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032064563) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2239971 + ... + 2240877.

Almost surely, 22032064568 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 2032064568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930165940).

2032064568 is an abundant number, since it is smaller than the sum of its proper divisors (3828267312).

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

2032064568 is a wasteful number, since it uses less digits than its factorization.

2032064568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2032064568 is about 45078.4268580881. The cubic root of 2032064568 is about 1266.6185218389.

The spelling of 2032064568 in words is "two billion, thirty-two million, sixty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 37 58 72 74 87 111 116 148 174 222 232 261 296 333 348 444 522 666 696 841 888 907 1044 1073 1332 1682 1814 2088 2146 2523 2664 2721 3219 3364 3628 4292 5046 5442 6438 6728 7256 7569 8163 8584 9657 10092 10884 12876 15138 16326 19314 20184 21768 25752 26303 30276 31117 32652 33559 38628 52606 60552 62234 65304 67118 77256 78909 93351 100677 105212 124468 134236 157818 186702 201354 210424 236727 248936 268472 280053 302031 315636 373404 402708 473454 560106 604062 631272 746808 762787 805416 946908 973211 1120212 1208124 1525574 1893816 1946422 2240424 2288361 2416248 2919633 3051148 3892844 4576722 5839266 6102296 6865083 7785688 8758899 9153444 11678532 13730166 17517798 18306888 23357064 27460332 28223119 35035596 54920664 56446238 70071192 84669357 112892476 169338714 225784952 254008071 338677428 508016142 677354856 1016032284 2032064568