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10065440 = 2557111943
BaseRepresentation
bin100110011001…
…011000100000
3200221101012002
4212121120200
510034043230
6555423132
7151361210
oct46313040
920841162
1010065440
115755350
123454aa8
1321155a8
1414a0240
15d3c545
hex999620

10065440 has 192 divisors, whose sum is σ = 31933440. Its totient is φ = 2903040.

The previous prime is 10065439. The next prime is 10065481. The reversal of 10065440 is 4456001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234059 + ... + 234101.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

Almost surely, 210065440 is an apocalyptic number.

10065440 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 10065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

10065440 is an abundant number, since it is smaller than the sum of its proper divisors (21868000).

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

10065440 is a wasteful number, since it uses less digits than its factorization.

10065440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 10065440 is about 3172.6077601872. The cubic root of 10065440 is about 215.9124016079.

It can be divided in two parts, 1006 and 5440, that added together give a palindrome (6446).

The spelling of 10065440 in words is "ten million, sixty-five thousand, four hundred forty".