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1030440 = 233531277
BaseRepresentation
bin11111011100100101000
31221100111110
43323210220
5230433230
634030320
711521125
oct3734450
91840443
101030440
11644204
124183a0
132a1038
141cb74c
151554b0
hexfb928

1030440 has 64 divisors (see below), whose sum is σ = 3202560. Its totient is φ = 264960.

The previous prime is 1030439. The next prime is 1030441. The reversal of 1030440 is 440301.

It is an interprime number because it is at equal distance from previous prime (1030439) and next prime (1030441).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1030441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3582 + ... + 3858.

It is an arithmetic number, because the mean of its divisors is an integer number (50040).

21030440 is an apocalyptic number.

1030440 is a gapful number since it is divisible by the number (10) 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 1030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601280).

1030440 is an abundant number, since it is smaller than the sum of its proper divisors (2172120).

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

1030440 is a wasteful number, since it uses less digits than its factorization.

1030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1030440 is about 1015.1059058049. The cubic root of 1030440 is about 101.0045418341.

Adding to 1030440 its reverse (440301), we get a palindrome (1470741).

The spelling of 1030440 in words is "one million, thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 277 310 372 465 554 620 744 831 930 1108 1240 1385 1662 1860 2216 2770 3324 3720 4155 5540 6648 8310 8587 11080 16620 17174 25761 33240 34348 42935 51522 68696 85870 103044 128805 171740 206088 257610 343480 515220 1030440