Search a number
-
+
10565940 = 22357112287
BaseRepresentation
bin101000010011…
…100100110100
3201212210202010
4220103210310
510201102230
61014244220
7155544330
oct50234464
921783663
1010565940
115a67390
123656670
13225c348
1415907c0
15dda9b0
hexa13934

10565940 has 96 divisors (see below), whose sum is σ = 36900864. Its totient is φ = 2194560.

The previous prime is 10565909. The next prime is 10565969. The reversal of 10565940 is 4956501.

It is a super-2 number, since 2×105659402 = 223278176167200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10565898 and 10565907.

It is a congruent number.

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, 3477 + ... + 5763.

It is an arithmetic number, because the mean of its divisors is an integer number (384384).

Almost surely, 210565940 is an apocalyptic number.

10565940 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 10565940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18450432).

10565940 is an abundant number, since it is smaller than the sum of its proper divisors (26334924).

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

10565940 is a wasteful number, since it uses less digits than its factorization.

10565940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 10565940 is about 3250.5291876862. The cubic root of 10565940 is about 219.4333904358.

It can be divided in two parts, 1056 and 5940, that added together give a palindrome (6996).

The spelling of 10565940 in words is "ten million, five hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2287 2310 4574 4620 6861 9148 11435 13722 16009 22870 25157 27444 32018 34305 45740 48027 50314 64036 68610 75471 80045 96054 100628 125785 137220 150942 160090 176099 192108 240135 251570 301884 320180 352198 377355 480270 503140 528297 704396 754710 880495 960540 1056594 1509420 1760990 2113188 2641485 3521980 5282970 10565940