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10640240 = 245132787
BaseRepresentation
bin101000100101…
…101101110000
3202000120122222
4220211231300
510210441430
61020020212
7156304052
oct50455560
922016588
1010640240
116008196
123691668
132287100
1415ad8d2
15e029e5
hexa25b70

10640240 has 60 divisors (see below), whose sum is σ = 26821944. Its totient is φ = 3923712.

The previous prime is 10640233. The next prime is 10640251. The reversal of 10640240 is 4204601.

It is a super-2 number, since 2×106402402 = 226429414515200, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 13127 + ... + 13913.

Almost surely, 210640240 is an apocalyptic number.

10640240 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 10640240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13410972).

10640240 is an abundant number, since it is smaller than the sum of its proper divisors (16181704).

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

10640240 is a wasteful number, since it uses less digits than its factorization.

10640240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 10640240 is about 3261.9380742129. The cubic root of 10640240 is about 219.9465434858.

Adding to 10640240 its reverse (4204601), we get a palindrome (14844841).

The spelling of 10640240 in words is "ten million, six hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 787 845 1040 1352 1574 1690 2704 3148 3380 3935 6296 6760 7870 10231 12592 13520 15740 20462 31480 40924 51155 62960 81848 102310 133003 163696 204620 266006 409240 532012 665015 818480 1064024 1330030 2128048 2660060 5320120 10640240