Search a number
-
+
10528380 = 223456797
BaseRepresentation
bin101000001010…
…011001111100
3201210220020000
4220022121330
510143402010
61013354300
7155326662
oct50123174
921726200
1010528380
115a41145
123638990
132248215
141580c32
15dce7c0
hexa0a67c

10528380 has 120 divisors (see below), whose sum is σ = 33866448. Its totient is φ = 2737152.

The previous prime is 10528367. The next prime is 10528403. The reversal of 10528380 is 8382501.

It is a happy number.

It is a super-2 number, since 2×105283802 = 221693570848800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108492 + ... + 108588.

Almost surely, 210528380 is an apocalyptic number.

10528380 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 10528380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16933224).

10528380 is an abundant number, since it is smaller than the sum of its proper divisors (23338068).

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

10528380 is a wasteful number, since it uses less digits than its factorization.

10528380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10528380 is about 3244.7465232280. The cubic root of 10528380 is about 219.1730664245.

The spelling of 10528380 in words is "ten million, five hundred twenty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 81 90 97 108 134 135 162 180 194 201 268 270 291 324 335 388 402 405 485 540 582 603 670 804 810 873 970 1005 1164 1206 1340 1455 1620 1746 1809 1940 2010 2412 2619 2910 3015 3492 3618 4020 4365 5238 5427 5820 6030 6499 7236 7857 8730 9045 10476 10854 12060 12998 13095 15714 17460 18090 19497 21708 25996 26190 27135 31428 32495 36180 38994 39285 52380 54270 58491 64990 77988 78570 97485 108540 116982 129980 157140 175473 194970 233964 292455 350946 389940 526419 584910 701892 877365 1052838 1169820 1754730 2105676 2632095 3509460 5264190 10528380