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10366240040 = 23513311016367
BaseRepresentation
bin10011010011110000…
…00100010100101000
3222202102220120000022
421221320010110220
5132212224140130
64432344300012
7514612405112
oct115170042450
928672816008
1010366240040
11443a521632
122013771608
13c9283b560
14704a5a3b2
1540a1037e5
hex269e04528

10366240040 has 128 divisors (see below), whose sum is σ = 26189291520. Its totient is φ = 3666816000.

The previous prime is 10366239977. The next prime is 10366240061. The reversal of 10366240040 is 4004266301.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 10366239991 and 10366240009.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1624937 + ... + 1631303.

It is an arithmetic number, because the mean of its divisors is an integer number (204603840).

Almost surely, 210366240040 is an apocalyptic number.

10366240040 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 10366240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094645760).

10366240040 is an abundant number, since it is smaller than the sum of its proper divisors (15823051480).

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

10366240040 is a wasteful number, since it uses less digits than its factorization.

10366240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 10366240040 in words is "ten billion, three hundred sixty-six million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 101 104 124 130 155 202 248 260 310 403 404 505 520 620 806 808 1010 1240 1313 1612 2015 2020 2626 3131 3224 4030 4040 5252 6262 6367 6565 8060 10504 12524 12734 13130 15655 16120 25048 25468 26260 31310 31835 40703 50936 52520 62620 63670 81406 82771 125240 127340 162812 165542 197377 203515 254680 325624 331084 394754 407030 413855 643067 662168 789508 814060 827710 986885 1286134 1579016 1628120 1655420 1973770 2565901 2572268 3215335 3310840 3947540 5131802 5144536 6430670 7895080 8359871 10263604 12829505 12861340 16719742 19935077 20527208 25659010 25722680 33439484 39870154 41799355 51318020 66878968 79740308 83598710 99675385 102636040 159480616 167197420 199350770 259156001 334394840 398701540 518312002 797403080 1036624004 1295780005 2073248008 2591560010 5183120020 10366240040