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10555056 = 243353461
BaseRepresentation
bin101000010000…
…111010110000
3201212020211000
4220100322300
510200230211
61014122000
7155500521
oct50207260
921766730
1010555056
115a5a196
123650300
1322573c5
14158a848
15dd7656
hexa10eb0

10555056 has 80 divisors (see below), whose sum is σ = 30935520. Its totient is φ = 3444480.

The previous prime is 10555049. The next prime is 10555057. The reversal of 10555056 is 65055501.

10555056 is a `hidden beast` number, since 105 + 550 + 5 + 6 = 666.

It is a super-2 number, since 2×105550562 = 222818414326272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10555057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22666 + ... + 23126.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 210555056 is an apocalyptic number.

10555056 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 10555056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760).

10555056 is an abundant number, since it is smaller than the sum of its proper divisors (20380464).

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

10555056 is a wasteful number, since it uses less digits than its factorization.

10555056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 10555056 is about 3248.8545673822. The cubic root of 10555056 is about 219.3580182632.

The spelling of 10555056 in words is "ten million, five hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 461 477 636 848 922 954 1272 1383 1431 1844 1908 2544 2766 2862 3688 3816 4149 5532 5724 7376 7632 8298 11064 11448 12447 16596 22128 22896 24433 24894 33192 48866 49788 66384 73299 97732 99576 146598 195464 199152 219897 293196 390928 439794 586392 659691 879588 1172784 1319382 1759176 2638764 3518352 5277528 10555056