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11013552 = 24321117409
BaseRepresentation
bin101010000000…
…110110110000
3202201112202100
4222000312300
510304413202
61032020400
7162420324
oct52006660
922645670
1011013552
116242710
123831700
132387cc4
141669984
15e7841c
hexa80db0

11013552 has 120 divisors (see below), whose sum is σ = 35689680. Its totient is φ = 3133440.

The previous prime is 11013551. The next prime is 11013581. The reversal of 11013552 is 25531011.

11013552 is a `hidden beast` number, since 110 + 1 + 3 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11013551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26724 + ... + 27132.

It is an arithmetic number, because the mean of its divisors is an integer number (297414).

Almost surely, 211013552 is an apocalyptic number.

11013552 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 11013552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17844840).

11013552 is an abundant number, since it is smaller than the sum of its proper divisors (24676128).

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

11013552 is a wasteful number, since it uses less digits than its factorization.

11013552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 11013552 is about 3318.6672023570. The cubic root of 11013552 is about 222.4893030249.

Adding to 11013552 its reverse (25531011), we get a palindrome (36544563).

The spelling of 11013552 in words is "eleven million, thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 409 528 561 612 748 792 816 818 1122 1224 1227 1496 1584 1636 1683 2244 2448 2454 2992 3272 3366 3681 4488 4499 4908 6544 6732 6953 7362 8976 8998 9816 13464 13497 13906 14724 17996 19632 20859 26928 26994 27812 29448 35992 40491 41718 53988 55624 58896 62577 71984 76483 80982 83436 107976 111248 125154 152966 161964 166872 215952 229449 250308 305932 323928 333744 458898 500616 611864 647856 688347 917796 1001232 1223728 1376694 1835592 2753388 3671184 5506776 11013552