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68362128 = 2432474737
BaseRepresentation
bin1000001001100…
…01111110010000
311202122011012200
410010301332100
5120000042003
610441123200
71460032332
oct404617620
9152564180
1068362128
113565252a
121aa89500
1311217183
149117452
1560056a3
hex4131f90

68362128 has 30 divisors (see below), whose sum is σ = 191319414. Its totient is φ = 22787328.

The previous prime is 68362127. The next prime is 68362157. The reversal of 68362128 is 82126386.

68362128 is a `hidden beast` number, since 6 + 8 + 3 + 621 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68359824 + 2304 = 8268^2 + 48^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 68362092 and 68362101.

It is not an unprimeable number, because it can be changed into a prime (68362127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 237225 + ... + 237512.

Almost surely, 268362128 is an apocalyptic number.

It is an amenable number.

68362128 is an abundant number, since it is smaller than the sum of its proper divisors (122957286).

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

68362128 is a wasteful number, since it uses less digits than its factorization.

68362128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474751 (or 474742 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 68362128 is about 8268.1393311918. The cubic root of 68362128 is about 408.8887776115. Note that the first 3 decimals are identical.

It can be divided in two parts, 683 and 62128, that multiplied together give a palindrome (42433424).

The spelling of 68362128 in words is "sixty-eight million, three hundred sixty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 474737 949474 1424211 1898948 2848422 3797896 4272633 5696844 7595792 8545266 11393688 17090532 22787376 34181064 68362128