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2630056 = 231131319
BaseRepresentation
bin1010000010000110101000
311221121202111
422002012220
51133130211
6132212104
731232542
oct12020650
94847674
102630056
111537000
12a6a034
13711160
144c6692
1536e421
hex2821a8

2630056 has 64 divisors (see below), whose sum is σ = 6148800. Its totient is φ = 1045440.

The previous prime is 2630041. The next prime is 2630077. The reversal of 2630056 is 6500362.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138415 + ... + 138433.

It is an arithmetic number, because the mean of its divisors is an integer number (96075).

22630056 is an apocalyptic number.

2630056 is a gapful number since it is divisible by the number (26) 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 2630056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074400).

2630056 is an abundant number, since it is smaller than the sum of its proper divisors (3518744).

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

2630056 is a wasteful number, since it uses less digits than its factorization.

2630056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 2630056 is about 1621.7447394704. The cubic root of 2630056 is about 138.0347178630.

It can be divided in two parts, 26 and 30056, that multiplied together give a square (781456 = 8842).

The spelling of 2630056 in words is "two million, six hundred thirty thousand, fifty-six".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 76 88 104 121 143 152 209 242 247 286 418 484 494 572 836 968 988 1144 1331 1573 1672 1976 2299 2662 2717 3146 4598 5324 5434 6292 9196 10648 10868 12584 17303 18392 21736 25289 29887 34606 50578 59774 69212 101156 119548 138424 202312 239096 328757 657514 1315028 2630056