[go: up one dir, main page]

Search a number
-
+
10533264 = 2437232947
BaseRepresentation
bin101000001011…
…100110010000
3201211010220220
4220023212100
510144031024
61013433040
7155350140
oct50134620
921733826
1010533264
115a44885
12363b780
13224a501
141582920
15dd0e79
hexa0b990

10533264 has 160 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 2720256.

The previous prime is 10533247. The next prime is 10533301. The reversal of 10533264 is 46233501.

It is a happy number.

It is a super-2 number, since 2×105332642 = 221899300987392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 224089 + ... + 224135.

It is an arithmetic number, because the mean of its divisors is an integer number (214272).

Almost surely, 210533264 is an apocalyptic number.

10533264 is a gapful number since it is divisible by the number (14) 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 10533264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

10533264 is an abundant number, since it is smaller than the sum of its proper divisors (23750256).

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

10533264 is a wasteful number, since it uses less digits than its factorization.

10533264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 10533264 is about 3245.4990371282. The cubic root of 10533264 is about 219.2069518459.

Adding to 10533264 its reverse (46233501), we get a palindrome (56766765).

The spelling of 10533264 in words is "ten million, five hundred thirty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 29 42 46 47 48 56 58 69 84 87 92 94 112 116 138 141 161 168 174 184 188 203 232 276 282 322 329 336 348 368 376 406 464 483 552 564 609 644 658 667 696 752 812 966 987 1081 1104 1128 1218 1288 1316 1334 1363 1392 1624 1932 1974 2001 2162 2256 2436 2576 2632 2668 2726 3243 3248 3864 3948 4002 4089 4324 4669 4872 5264 5336 5452 6486 7567 7728 7896 8004 8178 8648 9338 9541 9744 10672 10904 12972 14007 15134 15792 16008 16356 17296 18676 19082 21808 22701 25944 28014 28623 30268 31349 32016 32712 37352 38164 45402 51888 56028 57246 60536 62698 65424 74704 76328 90804 94047 112056 114492 121072 125396 152656 181608 188094 219443 224112 228984 250792 363216 376188 438886 457968 501584 658329 752376 877772 1316658 1504752 1755544 2633316 3511088 5266632 10533264