Search a number
-
+
11125296 = 2433713283
BaseRepresentation
bin101010011100…
…001000110000
3202221020001000
4222130020300
510322002141
61034242000
7163364160
oct52341060
922836030
1011125296
116309666
123886300
1323c6b20
1416985a0
15e9b5b6
hexa9c230

11125296 has 160 divisors (see below), whose sum is σ = 39441920. Its totient is φ = 2923776.

The previous prime is 11125277. The next prime is 11125319. The reversal of 11125296 is 69252111.

It is a super-2 number, since 2×111252962 = 247544422175232, 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 31 ways as a sum of consecutive naturals, for example, 39171 + ... + 39453.

It is an arithmetic number, because the mean of its divisors is an integer number (246512).

Almost surely, 211125296 is an apocalyptic number.

11125296 is a gapful number since it is divisible by the number (16) 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 11125296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19720960).

11125296 is an abundant number, since it is smaller than the sum of its proper divisors (28316624).

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

11125296 is a wasteful number, since it uses less digits than its factorization.

11125296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 11125296 is about 3335.4603880124. The cubic root of 11125296 is about 223.2392346337.

The spelling of 11125296 in words is "eleven million, one hundred twenty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 283 312 336 351 364 378 432 468 504 546 566 624 702 728 756 819 849 936 1008 1092 1132 1404 1456 1512 1638 1698 1872 1981 2184 2264 2457 2547 2808 3024 3276 3396 3679 3962 4368 4528 4914 5094 5616 5943 6552 6792 7358 7641 7924 9828 10188 11037 11886 13104 13584 14716 15282 15848 17829 19656 20376 22074 23772 25753 29432 30564 31696 33111 35658 39312 40752 44148 47544 51506 53487 58864 61128 66222 71316 77259 88296 95088 99333 103012 106974 122256 132444 142632 154518 176592 198666 206024 213948 231777 264888 285264 309036 397332 412048 427896 463554 529776 618072 695331 794664 855792 927108 1236144 1390662 1589328 1854216 2781324 3708432 5562648 11125296