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1204128 = 253237113
BaseRepresentation
bin100100101111110100000
32021011202100
410211332200
5302013003
641450400
713143402
oct4457640
92234670
101204128
11752752
124a0a00
13332103
14234b72
1518bba3
hex125fa0

1204128 has 72 divisors (see below), whose sum is σ = 3547908. Its totient is φ = 387072.

The previous prime is 1204117. The next prime is 1204139. The reversal of 1204128 is 8214021.

It is an interprime number because it is at equal distance from previous prime (1204117) and next prime (1204139).

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 11664 = 1092^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1204128.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10600 + ... + 10712.

21204128 is an apocalyptic number.

1204128 is a gapful number since it is divisible by the number (18) 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 1204128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773954).

1204128 is an abundant number, since it is smaller than the sum of its proper divisors (2343780).

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

1204128 is a wasteful number, since it uses less digits than its factorization.

1204128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

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

The square root of 1204128 is about 1097.3276630068. The cubic root of 1204128 is about 106.3875689775.

Adding to 1204128 its reverse (8214021), we get a palindrome (9418149).

The spelling of 1204128 in words is "one million, two hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 113 144 148 222 226 288 296 333 339 444 452 592 666 678 888 904 1017 1184 1332 1356 1776 1808 2034 2664 2712 3552 3616 4068 4181 5328 5424 8136 8362 10656 10848 12543 16272 16724 25086 32544 33448 37629 50172 66896 75258 100344 133792 150516 200688 301032 401376 602064 1204128