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8214128 = 24131723101
BaseRepresentation
bin11111010101011001110000
3120110022122222
4133111121300
54100323003
6452020212
7126550616
oct37253160
916408588
108214128
11470043a
122901668
131917a40
14113b6b6
15ac3c38
hex7d5670

8214128 has 80 divisors (see below), whose sum is σ = 19123776. Its totient is φ = 3379200.

The previous prime is 8214127. The next prime is 8214149.

8214128 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 = 8214097 and 8214106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8214127) 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 15 ways as a sum of consecutive naturals, for example, 81278 + ... + 81378.

Almost surely, 28214128 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 8214128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9561888).

8214128 is an abundant number, since it is smaller than the sum of its proper divisors (10909648).

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

8214128 is a wasteful number, since it uses less digits than its factorization.

8214128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

The square root of 8214128 is about 2866.0300068213. The cubic root of 8214128 is about 201.7687121767.

The spelling of 8214128 in words is "eight million, two hundred fourteen thousand, one hundred twenty-eight".