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2056032 = 253211259
BaseRepresentation
bin111110101111101100000
310212110100100
413311331200
51011243112
6112022400
723322156
oct7657540
93773310
102056032
111184800
12831a00
1356cab4
143b73d6
152a92dc
hex1f5f60

2056032 has 108 divisors (see below), whose sum is σ = 6535620. Its totient is φ = 612480.

The previous prime is 2056007. The next prime is 2056069. The reversal of 2056032 is 2306502.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2055996 and 2056014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34819 + ... + 34877.

It is an arithmetic number, because the mean of its divisors is an integer number (60515).

22056032 is an apocalyptic number.

2056032 is a gapful number since it is divisible by the number (22) 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 2056032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267810).

2056032 is an abundant number, since it is smaller than the sum of its proper divisors (4479588).

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

2056032 is a wasteful number, since it uses less digits than its factorization.

2056032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2056032 is about 1433.8870248384. The cubic root of 2056032 is about 127.1578832915.

The spelling of 2056032 in words is "two million, fifty-six thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 59 66 72 88 96 99 118 121 132 144 176 177 198 236 242 264 288 352 354 363 396 472 484 528 531 649 708 726 792 944 968 1056 1062 1089 1298 1416 1452 1584 1888 1936 1947 2124 2178 2596 2832 2904 3168 3872 3894 4248 4356 5192 5664 5808 5841 7139 7788 8496 8712 10384 11616 11682 14278 15576 16992 17424 20768 21417 23364 28556 31152 34848 42834 46728 57112 62304 64251 85668 93456 114224 128502 171336 186912 228448 257004 342672 514008 685344 1028016 2056032