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1040724 = 223228909
BaseRepresentation
bin11111110000101010100
31221212121100
43332011110
5231300344
634150100
711563116
oct3760524
91855540
101040724
11650a03
12422330
132a5919
141d13b6
15158569
hexfe154

1040724 has 18 divisors (see below), whose sum is σ = 2630810. Its totient is φ = 346896.

The previous prime is 1040717. The next prime is 1040731. The reversal of 1040724 is 4270401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1040717) and next prime (1040731).

It can be written as a sum of positive squares in only one way, i.e., 1040400 + 324 = 1020^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 1040697 and 1040706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14419 + ... + 14490.

21040724 is an apocalyptic number.

It is an amenable number.

1040724 is an abundant number, since it is smaller than the sum of its proper divisors (1590086).

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

1040724 is a wasteful number, since it uses less digits than its factorization.

1040724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28919 (or 28914 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1040724 is about 1020.1588111662. The cubic root of 1040724 is about 101.3394454223.

It can be divided in two parts, 1040 and 724, that added together give a square (1764 = 422).

The spelling of 1040724 in words is "one million, forty thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 28909 57818 86727 115636 173454 260181 346908 520362 1040724