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1040072 = 231153223
BaseRepresentation
bin11111101111011001000
31221211201012
43331323020
5231240242
634143052
711561165
oct3757310
91854635
101040072
11650470
12421a88
132a5537
141d106c
15158282
hexfdec8

1040072 has 32 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 461760.

The previous prime is 1040071. The next prime is 1040089. The reversal of 1040072 is 2700401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1040071) 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 7 ways as a sum of consecutive naturals, for example, 4553 + ... + 4775.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

21040072 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 1040072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

1040072 is an abundant number, since it is smaller than the sum of its proper divisors (1137208).

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

1040072 is a wasteful number, since it uses less digits than its factorization.

1040072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 1040072 is about 1019.8392030119. The cubic root of 1040072 is about 101.3182783882.

Adding to 1040072 its reverse (2700401), we get a palindrome (3740473).

The spelling of 1040072 in words is "one million, forty thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 223 424 446 583 892 1166 1784 2332 2453 4664 4906 9812 11819 19624 23638 47276 94552 130009 260018 520036 1040072