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10243515040 = 2551143135353
BaseRepresentation
bin10011000101000111…
…11010001010100000
3222102212222110221221
421202203322022200
5131434314440130
64412242024424
7511562304223
oct114243721240
928385873857
1010243515040
114387219510
121b9a648114
13c7329c205
146d26315ba
153ee46087a
hex2628fa2a0

10243515040 has 96 divisors (see below), whose sum is σ = 27014492736. Its totient is φ = 3638261760.

The previous prime is 10243515031. The next prime is 10243515047. The reversal of 10243515040 is 4051534201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10243514996 and 10243515014.

It is not an unprimeable number, because it can be changed into a prime (10243515047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8004 + ... + 143356.

It is an arithmetic number, because the mean of its divisors is an integer number (281400966).

Almost surely, 210243515040 is an apocalyptic number.

10243515040 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 10243515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13507246368).

10243515040 is an abundant number, since it is smaller than the sum of its proper divisors (16770977696).

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

10243515040 is a wasteful number, since it uses less digits than its factorization.

10243515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135422 (or 135414 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 10243515040 in words is "ten billion, two hundred forty-three million, five hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 80 86 88 110 160 172 176 215 220 344 352 430 440 473 688 860 880 946 1376 1720 1760 1892 2365 3440 3784 4730 6880 7568 9460 15136 18920 37840 75680 135353 270706 541412 676765 1082824 1353530 1488883 2165648 2707060 2977766 4331296 5414120 5820179 5955532 7444415 10828240 11640358 11911064 14888830 21656480 23280716 23822128 29100895 29777660 46561432 47644256 58201790 59555320 64021969 93122864 116403580 119110640 128043938 186245728 232807160 238221280 256087876 320109845 465614320 512175752 640219690 931228640 1024351504 1280439380 2048703008 2560878760 5121757520 10243515040