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2185056 = 2535281
BaseRepresentation
bin1000010101011101100000
311010000100000
420111131200
51024410211
6114500000
724400266
oct10253540
94100300
102185056
111262735
12894600
135b6743
1440c436
152d2656
hex215760

2185056 has 72 divisors (see below), whose sum is σ = 6466824. Its totient is φ = 725760.

The previous prime is 2185037. The next prime is 2185091. The reversal of 2185056 is 6505812.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7636 + ... + 7916.

It is an arithmetic number, because the mean of its divisors is an integer number (89817).

22185056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2185056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233412).

2185056 is an abundant number, since it is smaller than the sum of its proper divisors (4281768).

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

2185056 is an equidigital number, since it uses as much as digits as its factorization.

2185056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2185056 is about 1478.1934920706. The cubic root of 2185056 is about 129.7639899379.

The spelling of 2185056 in words is "two million, one hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 281 288 324 432 486 562 648 843 864 972 1124 1296 1686 1944 2248 2529 2592 3372 3888 4496 5058 6744 7587 7776 8992 10116 13488 15174 20232 22761 26976 30348 40464 45522 60696 68283 80928 91044 121392 136566 182088 242784 273132 364176 546264 728352 1092528 2185056