Search a number
-
+
11100852 = 2232732931
BaseRepresentation
bin101010010110…
…001010110100
3202212222111200
4222112022310
510320211402
61033532500
7163233000
oct52261264
922788450
1011100852
1162a2264
123874130
1323b8969
14168d700
15e9421c
hexa962b4

11100852 has 144 divisors (see below), whose sum is σ = 34944000. Its totient is φ = 2963520.

The previous prime is 11100839. The next prime is 11100871. The reversal of 11100852 is 25800111.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 358077 + ... + 358107.

Almost surely, 211100852 is an apocalyptic number.

11100852 is a gapful number since it is divisible by the number (12) 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 11100852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472000).

11100852 is an abundant number, since it is smaller than the sum of its proper divisors (23843148).

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

11100852 is a wasteful number, since it uses less digits than its factorization.

11100852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 11100852 is about 3331.7941112860. The cubic root of 11100852 is about 223.0756176758.

Adding to 11100852 its reverse (25800111), we get a palindrome (36900963).

The spelling of 11100852 in words is "eleven million, one hundred thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 31 36 42 49 58 62 63 84 87 93 98 116 124 126 147 174 186 196 203 217 252 261 279 294 343 348 372 406 434 441 522 558 588 609 651 686 812 868 882 899 1029 1044 1116 1218 1302 1372 1421 1519 1764 1798 1827 1953 2058 2436 2604 2697 2842 3038 3087 3596 3654 3906 4116 4263 4557 5394 5684 6076 6174 6293 7308 7812 8091 8526 9114 9947 10633 10788 12348 12586 12789 13671 16182 17052 18228 18879 19894 21266 25172 25578 27342 29841 31899 32364 37758 39788 42532 44051 51156 54684 56637 59682 63798 75516 88102 89523 95697 113274 119364 127596 132153 176204 179046 191394 226548 264306 308357 358092 382788 396459 528612 616714 792918 925071 1233428 1585836 1850142 2775213 3700284 5550426 11100852