[go: up one dir, main page]

Search a number
-
+
2006839152 = 24343741851
BaseRepresentation
bin111011110011101…
…1110111101110000
312011212012222210000
41313213132331300
513102222323102
6531045310000
7100505565003
oct16747367560
95155188700
102006839152
1193a898a5a
12480105300
1325ca002b6
1415075953a
15bb2b401c
hex779def70

2006839152 has 100 divisors (see below), whose sum is σ = 5965500376. Its totient is φ = 650851200.

The previous prime is 2006839123. The next prime is 2006839193. The reversal of 2006839152 is 2519386002.

2006839152 is a `hidden beast` number, since 200 + 68 + 391 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27027 + ... + 68877.

Almost surely, 22006839152 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 2006839152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982750188).

2006839152 is an abundant number, since it is smaller than the sum of its proper divisors (3958661224).

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

2006839152 is a wasteful number, since it uses less digits than its factorization.

2006839152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41908 (or 41893 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2006839152 is about 44797.7583367740. The cubic root of 2006839152 is about 1261.3555479383.

The spelling of 2006839152 in words is "two billion, six million, eight hundred thirty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 592 648 666 888 999 1296 1332 1776 1998 2664 2997 3996 5328 5994 7992 11988 15984 23976 41851 47952 83702 125553 167404 251106 334808 376659 502212 669616 753318 1004424 1129977 1506636 1548487 2008848 2259954 3013272 3096974 3389931 4519908 4645461 6026544 6193948 6779862 9039816 9290922 12387896 13559724 13936383 18079632 18581844 24775792 27119448 27872766 37163688 41809149 54238896 55745532 74327376 83618298 111491064 125427447 167236596 222982128 250854894 334473192 501709788 668946384 1003419576 2006839152