Search a number
-
+
1600000061 = 11282316067
BaseRepresentation
bin101111101011110…
…0001000000111101
311010111200102110112
41133113201000331
511234100000221
6422433315405
754435530132
oct13727410075
94114612415
101600000061
11751181800
12387a05b65
131c6635aca
141126d4589
15956ee15b
hex5f5e103d

1600000061 has 12 divisors (see below), whose sum is σ = 1760924256. Its totient is φ = 1452687720.

The previous prime is 1600000021. The next prime is 1600000069.

1600000061 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1600000061 - 214 = 1599983677 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1599999991 and 1600000045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1600000069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91550 + ... + 107616.

It is an arithmetic number, because the mean of its divisors is an integer number (146743688).

Almost surely, 21600000061 is an apocalyptic number.

1600000061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1600000061 is a deficient number, since it is larger than the sum of its proper divisors (160924195).

1600000061 is a wasteful number, since it uses less digits than its factorization.

1600000061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16912 (or 16901 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1600000061 is about 40000.0007625000. Note that the first 3 decimals coincide. The cubic root of 1600000061 is about 1169.6071101489.

It can be divided in two parts, 16000000 and 61, that added together give a palindrome (16000061).

The spelling of 1600000061 in words is "one billion, six hundred million, sixty-one", and thus it is an aban number.

Divisors: 1 11 121 823 9053 16067 99583 176737 1944107 13223141 145454551 1600000061