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1074004128 = 25323729181
BaseRepresentation
bin100000000000100…
…0000000010100000
32202211221001200200
41000001000002200
54144421113003
6254323345200
735420612241
oct10001000240
92684831620
101074004128
1150127a21a
1225b822200
1314167b402
14a28d2cc8
156444d6a3
hex400400a0

1074004128 has 36 divisors (see below), whose sum is σ = 3054200058. Its totient is φ = 358001280.

The previous prime is 1074004123. The next prime is 1074004133. The reversal of 1074004128 is 8214004701.

It is an interprime number because it is at equal distance from previous prime (1074004123) and next prime (1074004133).

It can be written as a sum of positive squares in only one way, i.e., 1074003984 + 144 = 32772^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10740041282 = 2306969733922080768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1074004123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1864303 + ... + 1864878.

Almost surely, 21074004128 is an apocalyptic number.

1074004128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1074004128 is an abundant number, since it is smaller than the sum of its proper divisors (1980195930).

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

1074004128 is a wasteful number, since it uses less digits than its factorization.

1074004128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729197 (or 3729186 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1074004128 is about 32772.0021969974. The cubic root of 1074004128 is about 1024.0833774069.

Adding to 1074004128 its reverse (8214004701), we get a palindrome (9288008829).

The spelling of 1074004128 in words is "one billion, seventy-four million, four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3729181 7458362 11187543 14916724 22375086 29833448 33562629 44750172 59666896 67125258 89500344 119333792 134250516 179000688 268501032 358001376 537002064 1074004128