Search a number
-
+
10557324 = 2233671459
BaseRepresentation
bin101000010001…
…011110001100
3201212100221000
4220101132030
510200313244
61014140300
7155510241
oct50213614
921770830
1010557324
115a60968
123651690
13225844b
14158b5c8
15dd8169
hexa1178c

10557324 has 48 divisors (see below), whose sum is σ = 27798400. Its totient is φ = 3464208.

The previous prime is 10557319. The next prime is 10557359. The reversal of 10557324 is 42375501.

It is a happy number.

It is a super-2 number, since 2×105573242 = 222914180081952, which 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 15 ways as a sum of consecutive naturals, for example, 6507 + ... + 7965.

Almost surely, 210557324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10557324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13899200).

10557324 is an abundant number, since it is smaller than the sum of its proper divisors (17241076).

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

10557324 is a wasteful number, since it uses less digits than its factorization.

10557324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 10557324 is about 3249.2035947290. The cubic root of 10557324 is about 219.3737285338.

The spelling of 10557324 in words is "ten million, five hundred fifty-seven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1459 1809 2412 2918 3618 4377 5836 7236 8754 13131 17508 26262 39393 52524 78786 97753 157572 195506 293259 391012 586518 879777 1173036 1759554 2639331 3519108 5278662 10557324