[go: up one dir, main page]

Search a number
-
+
3661056 = 28327227
BaseRepresentation
bin1101111101110100000000
320220000000200
431331310000
51414123211
6210245200
743055430
oct15756400
96800020
103661056
112080673
121286800
139b2509
146b42c0
154c4b56
hex37dd00

3661056 has 108 divisors (see below), whose sum is σ = 12116832. Its totient is φ = 1041408.

The previous prime is 3661043. The next prime is 3661093. The reversal of 3661056 is 6501663.

3661056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16015 + ... + 16241.

Almost surely, 23661056 is an apocalyptic number.

3661056 is a gapful number since it is divisible by the number (36) 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 3661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058416).

3661056 is an abundant number, since it is smaller than the sum of its proper divisors (8455776).

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

3661056 is a wasteful number, since it uses less digits than its factorization.

3661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3661056 is about 1913.3886170875. The cubic root of 3661056 is about 154.1234743704.

The spelling of 3661056 in words is "three million, six hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 227 252 256 288 336 384 448 454 504 576 672 681 768 896 908 1008 1152 1344 1362 1589 1792 1816 2016 2043 2304 2688 2724 3178 3632 4032 4086 4767 5376 5448 6356 7264 8064 8172 9534 10896 12712 14301 14528 16128 16344 19068 21792 25424 28602 29056 32688 38136 43584 50848 57204 58112 65376 76272 87168 101696 114408 130752 152544 174336 203392 228816 261504 305088 406784 457632 523008 610176 915264 1220352 1830528 3661056