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10413017240 = 23523292771409
BaseRepresentation
bin10011011001010101…
…00000100010011000
3222212200221002021012
421230222200202120
5132311213022430
64441135033052
7516021120563
oct115452404230
928780832235
1010413017240
114463970a7a
12202736b788
13c9c438a82
1470ad554da
1540e293695
hex26caa0898

10413017240 has 128 divisors (see below), whose sum is σ = 25400304000. Its totient is φ = 3830120448.

The previous prime is 10413017161. The next prime is 10413017287. The reversal of 10413017240 is 4271031401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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, 7389656 + ... + 7391064.

It is an arithmetic number, because the mean of its divisors is an integer number (198439875).

Almost surely, 210413017240 is an apocalyptic number.

10413017240 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 10413017240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700152000).

10413017240 is an abundant number, since it is smaller than the sum of its proper divisors (14987286760).

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

10413017240 is a wasteful number, since it uses less digits than its factorization.

10413017240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 10413017240 its reverse (4271031401), we get a palindrome (14684048641).

The spelling of 10413017240 in words is "ten billion, four hundred thirteen million, seventeen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 145 184 230 232 277 290 460 554 580 667 920 1108 1160 1334 1385 1409 2216 2668 2770 2818 3335 5336 5540 5636 6371 6670 7045 8033 11080 11272 12742 13340 14090 16066 25484 26680 28180 31855 32132 32407 40165 40861 50968 56360 63710 64264 64814 80330 81722 127420 129628 160660 162035 163444 184759 204305 254840 259256 321320 324070 326888 369518 390293 408610 648140 739036 780586 817220 923795 939803 1296280 1478072 1561172 1634440 1847590 1879606 1951465 3122344 3695180 3759212 3902930 4699015 7390360 7518424 7805860 8976739 9398030 11318497 15611720 17953478 18796060 22636994 35906956 37592120 44883695 45273988 56592485 71813912 89767390 90547976 113184970 179534780 226369940 260325431 359069560 452739880 520650862 1041301724 1301627155 2082603448 2603254310 5206508620 10413017240