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2556330 = 235723747
BaseRepresentation
bin1001110000000110101010
311210212121220
421300012222
51123300310
6130442510
730504600
oct11600652
94725556
102556330
111496677
12a33436
136b672a
144a7870
15357670
hex2701aa

2556330 has 96 divisors (see below), whose sum is σ = 7485696. Its totient is φ = 556416.

The previous prime is 2556277. The next prime is 2556331. The reversal of 2556330 is 336552.

It is a d-powerful number, because it can be written as 219 + 57 + 59 + 62 + 33 + 36 + 0 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2556330.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54367 + ... + 54413.

It is an arithmetic number, because the mean of its divisors is an integer number (77976).

22556330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2556330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742848).

2556330 is an abundant number, since it is smaller than the sum of its proper divisors (4929366).

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

2556330 is a wasteful number, since it uses less digits than its factorization.

2556330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 2556330 is about 1598.8527136669. The cubic root of 2556330 is about 136.7326735153.

The spelling of 2556330 in words is "two million, five hundred fifty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 47 49 70 74 94 98 105 111 141 147 185 210 222 235 245 259 282 294 329 370 470 490 518 555 658 705 735 777 987 1110 1295 1410 1470 1554 1645 1739 1813 1974 2303 2590 3290 3478 3626 3885 4606 4935 5217 5439 6909 7770 8695 9065 9870 10434 10878 11515 12173 13818 17390 18130 23030 24346 26085 27195 34545 36519 52170 54390 60865 69090 73038 85211 121730 170422 182595 255633 365190 426055 511266 852110 1278165 2556330