Search a number
-
+
11561472 = 293213193
BaseRepresentation
bin101100000110…
…101000000000
3210202101100200
4230012220000
510424431342
61051445200
7200161626
oct54065000
923671320
1011561472
11658733a
123a56800
13251a510
14176d516
15103594c
hexb06a00

11561472 has 120 divisors (see below), whose sum is σ = 36120084. Its totient is φ = 3538944.

The previous prime is 11561471. The next prime is 11561477. The reversal of 11561472 is 27416511.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10342656 + 1218816 = 3216^2 + 1104^2 .

It is not an unprimeable number, because it can be changed into a prime (11561471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59808 + ... + 60000.

Almost surely, 211561472 is an apocalyptic number.

11561472 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 11561472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18060042).

11561472 is an abundant number, since it is smaller than the sum of its proper divisors (24558612).

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

11561472 is a wasteful number, since it uses less digits than its factorization.

11561472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 11561472 is about 3400.2164636976. The cubic root of 11561472 is about 226.1193407346.

Adding to 11561472 its reverse (27416511), we get a palindrome (38977983).

It can be divided in two parts, 1156 and 1472, that added together give a triangular number (2628 = T72).

The spelling of 11561472 in words is "eleven million, five hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 193 208 234 256 288 312 384 386 416 468 512 576 579 624 768 772 832 936 1152 1158 1248 1536 1544 1664 1737 1872 2304 2316 2496 2509 3088 3328 3474 3744 4608 4632 4992 5018 6176 6656 6948 7488 7527 9264 9984 10036 12352 13896 14976 15054 18528 19968 20072 22581 24704 27792 29952 30108 37056 40144 45162 49408 55584 59904 60216 74112 80288 90324 98816 111168 120432 148224 160576 180648 222336 240864 296448 321152 361296 444672 481728 642304 722592 889344 963456 1284608 1445184 1926912 2890368 3853824 5780736 11561472