Search a number
-
+
1428168106 = 23735354673
BaseRepresentation
bin101010100100000…
…0001110110101010
310200112100110100001
41111020001312222
510411102334411
6353414333214
750251141261
oct12510016652
93615313301
101428168106
11673188922
1233a35a20a
13199b619b1
14d79655d8
15855aadc1
hex55201daa

1428168106 has 16 divisors (see below), whose sum is σ = 2206423944. Its totient is φ = 692803584.

The previous prime is 1428168089. The next prime is 1428168107. The reversal of 1428168106 is 6018618241.

It can be written as a sum of positive squares in 4 ways, for example, as 1191285225 + 236882881 = 34515^2 + 15391^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (1428168107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1215 + ... + 53458.

Almost surely, 21428168106 is an apocalyptic number.

1428168106 is a deficient number, since it is larger than the sum of its proper divisors (778255838).

1428168106 is a wasteful number, since it uses less digits than its factorization.

1428168106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55065.

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 1428168106 is about 37791.1114681746. Note that the first 3 decimals coincide. The cubic root of 1428168106 is about 1126.1418808562.

The spelling of 1428168106 in words is "one billion, four hundred twenty-eight million, one hundred sixty-eight thousand, one hundred six".

Divisors: 1 2 37 74 353 706 13061 26122 54673 109346 2022901 4045802 19299569 38599138 714084053 1428168106