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11473056 = 253372271
BaseRepresentation
bin101011110001…
…000010100000
3210120220002000
4223301002200
510414114211
61045524000
7166343100
oct53610240
923526060
1011473056
116526971
123a13600
1324b91ba
141749200
151019656
hexaf10a0

11473056 has 144 divisors (see below), whose sum is σ = 39070080. Its totient is φ = 3265920.

The previous prime is 11473043. The next prime is 11473061. The reversal of 11473056 is 65037411.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 42201 + ... + 42471.

It is an arithmetic number, because the mean of its divisors is an integer number (271320).

Almost surely, 211473056 is an apocalyptic number.

11473056 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 11473056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535040).

11473056 is an abundant number, since it is smaller than the sum of its proper divisors (27597024).

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

11473056 is a wasteful number, since it uses less digits than its factorization.

11473056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 11473056 is about 3387.1899858142. The cubic root of 11473056 is about 225.5414515336.

The spelling of 11473056 in words is "eleven million, four hundred seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 271 288 294 336 378 392 432 441 504 542 588 672 756 784 813 864 882 1008 1084 1176 1323 1512 1568 1626 1764 1897 2016 2168 2352 2439 2646 3024 3252 3528 3794 4336 4704 4878 5292 5691 6048 6504 7056 7317 7588 8672 9756 10584 11382 13008 13279 14112 14634 15176 17073 19512 21168 22764 26016 26558 29268 30352 34146 39024 39837 42336 45528 51219 53116 58536 60704 68292 78048 79674 91056 102438 106232 117072 119511 136584 159348 182112 204876 212464 234144 239022 273168 318696 358533 409752 424928 478044 546336 637392 717066 819504 956088 1274784 1434132 1639008 1912176 2868264 3824352 5736528 11473056