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4102128 = 243261467
BaseRepresentation
bin1111101001011111110000
321201102001200
433221133300
52022232003
6223531200
746603362
oct17513760
97642050
104102128
112351a98
121459b00
13b081c4
1478ad32
155606a3
hex3e97f0

4102128 has 60 divisors (see below), whose sum is σ = 11693448. Its totient is φ = 1342080.

The previous prime is 4102123. The next prime is 4102129. The reversal of 4102128 is 8212014.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 4102128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8551 + ... + 9017.

Almost surely, 24102128 is an apocalyptic number.

4102128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846724).

4102128 is an abundant number, since it is smaller than the sum of its proper divisors (7591320).

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

4102128 is a wasteful number, since it uses less digits than its factorization.

4102128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4102128 is about 2025.3710771115. The cubic root of 4102128 is about 160.0797519078.

The spelling of 4102128 in words is "four million, one hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 467 488 549 732 934 976 1098 1401 1464 1868 2196 2802 2928 3736 4203 4392 5604 7472 8406 8784 11208 16812 22416 28487 33624 56974 67248 85461 113948 170922 227896 256383 341844 455792 512766 683688 1025532 1367376 2051064 4102128