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10440040 = 23513171181
BaseRepresentation
bin100111110100…
…110101101000
3201122102001011
4213310311220
510133040130
61011433304
7154511302
oct47646550
921572034
1010440040
115990836
1235b5834
132216c50
14155a972
15db352a
hex9f4d68

10440040 has 64 divisors (see below), whose sum is σ = 26807760. Its totient is φ = 3624960.

The previous prime is 10440037. The next prime is 10440041. The reversal of 10440040 is 4004401.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6543364 + 3896676 = 2558^2 + 1974^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10440040.

It is not an unprimeable number, because it can be changed into a prime (10440041) 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 15 ways as a sum of consecutive naturals, for example, 8250 + ... + 9430.

Almost surely, 210440040 is an apocalyptic number.

10440040 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 10440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13403880).

10440040 is an abundant number, since it is smaller than the sum of its proper divisors (16367720).

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

10440040 is a wasteful number, since it uses less digits than its factorization.

10440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 10440040 is about 3231.1050741194. The cubic root of 10440040 is about 218.5583420598.

Adding to 10440040 its reverse (4004401), we get a palindrome (14444441).

The spelling of 10440040 in words is "ten million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1181 1768 2210 2362 4420 4724 5905 8840 9448 11810 15353 20077 23620 30706 40154 47240 61412 76765 80308 100385 122824 153530 160616 200770 261001 307060 401540 522002 614120 803080 1044004 1305005 2088008 2610010 5220020 10440040