Search a number
-
+
10325023560 = 2333543322079
BaseRepresentation
bin10011001110110101…
…10101101101001000
3222122120100112122000
421213122311231020
5132121201223220
64424313031000
7513602152335
oct114732655510
928576315560
1010325023560
114419230025
1220019b5460
13c8713a0c7
146dd3ab98c
154066b1390
hex2676b5b48

10325023560 has 128 divisors (see below), whose sum is σ = 34497792000. Its totient is φ = 2746856448.

The previous prime is 10325023523. The next prime is 10325023601. The reversal of 10325023560 is 6532052301.

10325023560 is a `hidden beast` number, since 1 + 0 + 32 + 50 + 23 + 560 = 666.

It is a super-2 number, since 2×103250235602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 456601 + ... + 478679.

It is an arithmetic number, because the mean of its divisors is an integer number (269514000).

Almost surely, 210325023560 is an apocalyptic number.

10325023560 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 10325023560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248896000).

10325023560 is an abundant number, since it is smaller than the sum of its proper divisors (24172768440).

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

10325023560 is a wasteful number, since it uses less digits than its factorization.

10325023560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22532 (or 22522 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 10325023560 its reverse (6532052301), we get a palindrome (16857075861).

The spelling of 10325023560 in words is "ten billion, three hundred twenty-five million, twenty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 433 540 866 1080 1299 1732 2165 2598 3464 3897 4330 5196 6495 7794 8660 10392 11691 12990 15588 17320 19485 22079 23382 25980 31176 38970 44158 46764 51960 58455 66237 77940 88316 93528 110395 116910 132474 155880 176632 198711 220790 233820 264948 331185 397422 441580 467640 529896 596133 662370 794844 883160 993555 1192266 1324740 1589688 1987110 2384532 2649480 2980665 3974220 4769064 5961330 7948440 9560207 11922660 19120414 23845320 28680621 38240828 47801035 57361242 76481656 86041863 95602070 114722484 143403105 172083726 191204140 229444968 258125589 286806210 344167452 382408280 430209315 516251178 573612420 688334904 860418630 1032502356 1147224840 1290627945 1720837260 2065004712 2581255890 3441674520 5162511780 10325023560